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Finding the Fourth Proportional to 529.16, 731.16 and 435.84

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Solution

The fourth proportional to 529.16, 731.16 and 435.84 is: 602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.16 : 731.16 = 435.84 : x
  2. Step 2: Convert to fraction form
    529.16/731.16 = 435.84/x
  3. Step 3: Cross multiply
    529.16x = 731.16 × 435.84
  4. Step 4: Simplify right side
    529.16x = 318,668.77
  5. Step 5: Solve for x
    x = 318,668.77/529.16
  6. Step 6: Final answer
    x = 602.22

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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.