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Finding the Fourth Proportional to 565.47, 778.82 and 467.19

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Solution

The fourth proportional to 565.47, 778.82 and 467.19 is: 643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.47 : 778.82 = 467.19 : x
  2. Step 2: Convert to fraction form
    565.47/778.82 = 467.19/x
  3. Step 3: Cross multiply
    565.47x = 778.82 × 467.19
  4. Step 4: Simplify right side
    565.47x = 363,854.58
  5. Step 5: Solve for x
    x = 363,854.58/565.47
  6. Step 6: Final answer
    x = 643.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.