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Finding the Fourth Proportional to 530.79, 732.50 and 294.75

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Solution

The fourth proportional to 530.79, 732.50 and 294.75 is: 406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.79 : 732.50 = 294.75 : x
  2. Step 2: Convert to fraction form
    530.79/732.50 = 294.75/x
  3. Step 3: Cross multiply
    530.79x = 732.50 × 294.75
  4. Step 4: Simplify right side
    530.79x = 215,900.71
  5. Step 5: Solve for x
    x = 215,900.71/530.79
  6. Step 6: Final answer
    x = 406.75

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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.