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Finding the Fourth Proportional to 972.09, 1,458.09 and 355.68

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Solution

The fourth proportional to 972.09, 1,458.09 and 355.68 is: 533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.09 : 1,458.09 = 355.68 : x
  2. Step 2: Convert to fraction form
    972.09/1,458.09 = 355.68/x
  3. Step 3: Cross multiply
    972.09x = 1,458.09 × 355.68
  4. Step 4: Simplify right side
    972.09x = 518,613.45
  5. Step 5: Solve for x
    x = 518,613.45/972.09
  6. Step 6: Final answer
    x = 533.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.