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Finding the Fourth Proportional to 565.43, 848.75 and 500.83

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Solution

The fourth proportional to 565.43, 848.75 and 500.83 is: 751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.43 : 848.75 = 500.83 : x
  2. Step 2: Convert to fraction form
    565.43/848.75 = 500.83/x
  3. Step 3: Cross multiply
    565.43x = 848.75 × 500.83
  4. Step 4: Simplify right side
    565.43x = 425,079.46
  5. Step 5: Solve for x
    x = 425,079.46/565.43
  6. Step 6: Final answer
    x = 751.78

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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.