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Finding the Fourth Proportional to 560.76, 841 and 195.52

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Solution

The fourth proportional to 560.76, 841 and 195.52 is: 293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 841 = 195.52 : x
  2. Step 2: Convert to fraction form
    560.76/841 = 195.52/x
  3. Step 3: Cross multiply
    560.76x = 841 × 195.52
  4. Step 4: Simplify right side
    560.76x = 164,432.32
  5. Step 5: Solve for x
    x = 164,432.32/560.76
  6. Step 6: Final answer
    x = 293.23

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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.