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Finding the Fourth Proportional to 560.58, 841.01 and 195.41

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Solution

The fourth proportional to 560.58, 841.01 and 195.41 is: 293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.58 : 841.01 = 195.41 : x
  2. Step 2: Convert to fraction form
    560.58/841.01 = 195.41/x
  3. Step 3: Cross multiply
    560.58x = 841.01 × 195.41
  4. Step 4: Simplify right side
    560.58x = 164,336.58
  5. Step 5: Solve for x
    x = 164,336.58/560.58
  6. Step 6: Final answer
    x = 293.15

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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.