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Finding the Fourth Proportional to 565.68, 844.40 and 524.48

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Solution

The fourth proportional to 565.68, 844.40 and 524.48 is: 782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.68 : 844.40 = 524.48 : x
  2. Step 2: Convert to fraction form
    565.68/844.40 = 524.48/x
  3. Step 3: Cross multiply
    565.68x = 844.40 × 524.48
  4. Step 4: Simplify right side
    565.68x = 442,870.91
  5. Step 5: Solve for x
    x = 442,870.91/565.68
  6. Step 6: Final answer
    x = 782.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.