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Finding the Fourth Proportional to 565.88, 780.32 and 418.80

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Solution

The fourth proportional to 565.88, 780.32 and 418.80 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.88 : 780.32 = 418.80 : x
  2. Step 2: Convert to fraction form
    565.88/780.32 = 418.80/x
  3. Step 3: Cross multiply
    565.88x = 780.32 × 418.80
  4. Step 4: Simplify right side
    565.88x = 326,798.02
  5. Step 5: Solve for x
    x = 326,798.02/565.88
  6. Step 6: Final answer
    x = 577.50

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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.