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Finding the Fourth Proportional to 529.34, 729.81 and 435.92

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Solution

The fourth proportional to 529.34, 729.81 and 435.92 is: 601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 729.81 = 435.92 : x
  2. Step 2: Convert to fraction form
    529.34/729.81 = 435.92/x
  3. Step 3: Cross multiply
    529.34x = 729.81 × 435.92
  4. Step 4: Simplify right side
    529.34x = 318,135.13
  5. Step 5: Solve for x
    x = 318,135.13/529.34
  6. Step 6: Final answer
    x = 601.01

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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.