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Finding the Fourth Proportional to 530.02, 732.11 and 405.42

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Solution

The fourth proportional to 530.02, 732.11 and 405.42 is: 560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.02 : 732.11 = 405.42 : x
  2. Step 2: Convert to fraction form
    530.02/732.11 = 405.42/x
  3. Step 3: Cross multiply
    530.02x = 732.11 × 405.42
  4. Step 4: Simplify right side
    530.02x = 296,812.04
  5. Step 5: Solve for x
    x = 296,812.04/530.02
  6. Step 6: Final answer
    x = 560.00

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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.