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Finding the Fourth Proportional to 560.87, 840.99 and 407.78

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Solution

The fourth proportional to 560.87, 840.99 and 407.78 is: 611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.87 : 840.99 = 407.78 : x
  2. Step 2: Convert to fraction form
    560.87/840.99 = 407.78/x
  3. Step 3: Cross multiply
    560.87x = 840.99 × 407.78
  4. Step 4: Simplify right side
    560.87x = 342,934.70
  5. Step 5: Solve for x
    x = 342,934.70/560.87
  6. Step 6: Final answer
    x = 611.44

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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.