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Finding the Fourth Proportional to 530.13, 731.85 and 411.84

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Solution

The fourth proportional to 530.13, 731.85 and 411.84 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.13 : 731.85 = 411.84 : x
  2. Step 2: Convert to fraction form
    530.13/731.85 = 411.84/x
  3. Step 3: Cross multiply
    530.13x = 731.85 × 411.84
  4. Step 4: Simplify right side
    530.13x = 301,403.37
  5. Step 5: Solve for x
    x = 301,403.37/530.13
  6. Step 6: Final answer
    x = 568.55

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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.