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Finding the Fourth Proportional to 529.95, 731.39 and 364.04

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Solution

The fourth proportional to 529.95, 731.39 and 364.04 is: 502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.95 : 731.39 = 364.04 : x
  2. Step 2: Convert to fraction form
    529.95/731.39 = 364.04/x
  3. Step 3: Cross multiply
    529.95x = 731.39 × 364.04
  4. Step 4: Simplify right side
    529.95x = 266,255.22
  5. Step 5: Solve for x
    x = 266,255.22/529.95
  6. Step 6: Final answer
    x = 502.42

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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.