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Finding the Fourth Proportional to 530.69, 732.44 and 365.11

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Solution

The fourth proportional to 530.69, 732.44 and 365.11 is: 503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 732.44 = 365.11 : x
  2. Step 2: Convert to fraction form
    530.69/732.44 = 365.11/x
  3. Step 3: Cross multiply
    530.69x = 732.44 × 365.11
  4. Step 4: Simplify right side
    530.69x = 267,420.25
  5. Step 5: Solve for x
    x = 267,420.25/530.69
  6. Step 6: Final answer
    x = 503.92

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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.