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Finding the Fourth Proportional to 560.57, 840.63 and 252.57

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Solution

The fourth proportional to 560.57, 840.63 and 252.57 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.57 : 840.63 = 252.57 : x
  2. Step 2: Convert to fraction form
    560.57/840.63 = 252.57/x
  3. Step 3: Cross multiply
    560.57x = 840.63 × 252.57
  4. Step 4: Simplify right side
    560.57x = 212,315.87
  5. Step 5: Solve for x
    x = 212,315.87/560.57
  6. Step 6: Final answer
    x = 378.75

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Why These Related Problems?

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