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Finding the Fourth Proportional to 565.92, 780.44 and 524.00

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Solution

The fourth proportional to 565.92, 780.44 and 524.00 is: 722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 780.44 = 524.00 : x
  2. Step 2: Convert to fraction form
    565.92/780.44 = 524.00/x
  3. Step 3: Cross multiply
    565.92x = 780.44 × 524.00
  4. Step 4: Simplify right side
    565.92x = 408,949.89
  5. Step 5: Solve for x
    x = 408,949.89/565.92
  6. Step 6: Final answer
    x = 722.63

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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.