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Finding the Fourth Proportional to 565.68, 848.88 and 542.16

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Solution

The fourth proportional to 565.68, 848.88 and 542.16 is: 813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.68 : 848.88 = 542.16 : x
  2. Step 2: Convert to fraction form
    565.68/848.88 = 542.16/x
  3. Step 3: Cross multiply
    565.68x = 848.88 × 542.16
  4. Step 4: Simplify right side
    565.68x = 460,228.78
  5. Step 5: Solve for x
    x = 460,228.78/565.68
  6. Step 6: Final answer
    x = 813.59

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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.