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Finding the Fourth Proportional to 456.19, 629.55 and 259.70

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Solution

The fourth proportional to 456.19, 629.55 and 259.70 is: 358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 629.55 = 259.70 : x
  2. Step 2: Convert to fraction form
    456.19/629.55 = 259.70/x
  3. Step 3: Cross multiply
    456.19x = 629.55 × 259.70
  4. Step 4: Simplify right side
    456.19x = 163,495.71
  5. Step 5: Solve for x
    x = 163,495.71/456.19
  6. Step 6: Final answer
    x = 358.39

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.