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Finding the Fourth Proportional to 530.87, 732.56 and 294.84

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Solution

The fourth proportional to 530.87, 732.56 and 294.84 is: 406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.87 : 732.56 = 294.84 : x
  2. Step 2: Convert to fraction form
    530.87/732.56 = 294.84/x
  3. Step 3: Cross multiply
    530.87x = 732.56 × 294.84
  4. Step 4: Simplify right side
    530.87x = 215,986.52
  5. Step 5: Solve for x
    x = 215,986.52/530.87
  6. Step 6: Final answer
    x = 406.86

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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.