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Finding the Fourth Proportional to 565.54, 780.77 and 431.71

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Solution

The fourth proportional to 565.54, 780.77 and 431.71 is: 596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.54 : 780.77 = 431.71 : x
  2. Step 2: Convert to fraction form
    565.54/780.77 = 431.71/x
  3. Step 3: Cross multiply
    565.54x = 780.77 × 431.71
  4. Step 4: Simplify right side
    565.54x = 337,066.22
  5. Step 5: Solve for x
    x = 337,066.22/565.54
  6. Step 6: Final answer
    x = 596.01

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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.