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Finding the Fourth Proportional to 676.40, 932.28 and 565.52

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Solution

The fourth proportional to 676.40, 932.28 and 565.52 is: 779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.40 : 932.28 = 565.52 : x
  2. Step 2: Convert to fraction form
    676.40/932.28 = 565.52/x
  3. Step 3: Cross multiply
    676.40x = 932.28 × 565.52
  4. Step 4: Simplify right side
    676.40x = 527,222.99
  5. Step 5: Solve for x
    x = 527,222.99/676.40
  6. Step 6: Final answer
    x = 779.45

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1.5x scale

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.