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Finding the Fourth Proportional to 710.27, 1,064.72 and 299.76

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Solution

The fourth proportional to 710.27, 1,064.72 and 299.76 is: 449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.27 : 1,064.72 = 299.76 : x
  2. Step 2: Convert to fraction form
    710.27/1,064.72 = 299.76/x
  3. Step 3: Cross multiply
    710.27x = 1,064.72 × 299.76
  4. Step 4: Simplify right side
    710.27x = 319,158.97
  5. Step 5: Solve for x
    x = 319,158.97/710.27
  6. Step 6: Final answer
    x = 449.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.