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Finding the Fourth Proportional to 560.47, 840.16 and 252.37

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Solution

The fourth proportional to 560.47, 840.16 and 252.37 is: 378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.47 : 840.16 = 252.37 : x
  2. Step 2: Convert to fraction form
    560.47/840.16 = 252.37/x
  3. Step 3: Cross multiply
    560.47x = 840.16 × 252.37
  4. Step 4: Simplify right side
    560.47x = 212,031.18
  5. Step 5: Solve for x
    x = 212,031.18/560.47
  6. Step 6: Final answer
    x = 378.31

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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.