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Finding the Fourth Proportional to 529.35, 730.49 and 296.48

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Solution

The fourth proportional to 529.35, 730.49 and 296.48 is: 409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.35 : 730.49 = 296.48 : x
  2. Step 2: Convert to fraction form
    529.35/730.49 = 296.48/x
  3. Step 3: Cross multiply
    529.35x = 730.49 × 296.48
  4. Step 4: Simplify right side
    529.35x = 216,572.02
  5. Step 5: Solve for x
    x = 216,572.02/529.35
  6. Step 6: Final answer
    x = 409.13

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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.