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Finding the Fourth Proportional to 530.02, 731.32 and 364.17

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Solution

The fourth proportional to 530.02, 731.32 and 364.17 is: 502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.02 : 731.32 = 364.17 : x
  2. Step 2: Convert to fraction form
    530.02/731.32 = 364.17/x
  3. Step 3: Cross multiply
    530.02x = 731.32 × 364.17
  4. Step 4: Simplify right side
    530.02x = 266,322.98
  5. Step 5: Solve for x
    x = 266,322.98/530.02
  6. Step 6: Final answer
    x = 502.48

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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.