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Finding the Fourth Proportional to 565.42, 780.15 and 332.62

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Solution

The fourth proportional to 565.42, 780.15 and 332.62 is: 458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.42 : 780.15 = 332.62 : x
  2. Step 2: Convert to fraction form
    565.42/780.15 = 332.62/x
  3. Step 3: Cross multiply
    565.42x = 780.15 × 332.62
  4. Step 4: Simplify right side
    565.42x = 259,493.49
  5. Step 5: Solve for x
    x = 259,493.49/565.42
  6. Step 6: Final answer
    x = 458.94

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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.