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Finding the Fourth Proportional to 565.95, 849.48 and 420.15

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Solution

The fourth proportional to 565.95, 849.48 and 420.15 is: 630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.95 : 849.48 = 420.15 : x
  2. Step 2: Convert to fraction form
    565.95/849.48 = 420.15/x
  3. Step 3: Cross multiply
    565.95x = 849.48 × 420.15
  4. Step 4: Simplify right side
    565.95x = 356,909.02
  5. Step 5: Solve for x
    x = 356,909.02/565.95
  6. Step 6: Final answer
    x = 630.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.