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Finding the Fourth Proportional to 456.03, 629.34 and 259.53

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Solution

The fourth proportional to 456.03, 629.34 and 259.53 is: 358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.03 : 629.34 = 259.53 : x
  2. Step 2: Convert to fraction form
    456.03/629.34 = 259.53/x
  3. Step 3: Cross multiply
    456.03x = 629.34 × 259.53
  4. Step 4: Simplify right side
    456.03x = 163,332.61
  5. Step 5: Solve for x
    x = 163,332.61/456.03
  6. Step 6: Final answer
    x = 358.16

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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.