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Finding the Fourth Proportional to 530.86, 733 and 365.62

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Solution

The fourth proportional to 530.86, 733 and 365.62 is: 504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.86 : 733 = 365.62 : x
  2. Step 2: Convert to fraction form
    530.86/733 = 365.62/x
  3. Step 3: Cross multiply
    530.86x = 733 × 365.62
  4. Step 4: Simplify right side
    530.86x = 267,999.46
  5. Step 5: Solve for x
    x = 267,999.46/530.86
  6. Step 6: Final answer
    x = 504.84

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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.