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Finding the Fourth Proportional to 529.32, 730.99 and 436.38

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Solution

The fourth proportional to 529.32, 730.99 and 436.38 is: 602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.32 : 730.99 = 436.38 : x
  2. Step 2: Convert to fraction form
    529.32/730.99 = 436.38/x
  3. Step 3: Cross multiply
    529.32x = 730.99 × 436.38
  4. Step 4: Simplify right side
    529.32x = 318,989.42
  5. Step 5: Solve for x
    x = 318,989.42/529.32
  6. Step 6: Final answer
    x = 602.64

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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.