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Finding the Fourth Proportional to 529.86, 731.20 and 296.99

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Solution

The fourth proportional to 529.86, 731.20 and 296.99 is: 409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.86 : 731.20 = 296.99 : x
  2. Step 2: Convert to fraction form
    529.86/731.20 = 296.99/x
  3. Step 3: Cross multiply
    529.86x = 731.20 × 296.99
  4. Step 4: Simplify right side
    529.86x = 217,159.09
  5. Step 5: Solve for x
    x = 217,159.09/529.86
  6. Step 6: Final answer
    x = 409.84

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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.