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Finding the Fourth Proportional to 580.64, 870.95 and 147.80

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Solution

The fourth proportional to 580.64, 870.95 and 147.80 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.64 : 870.95 = 147.80 : x
  2. Step 2: Convert to fraction form
    580.64/870.95 = 147.80/x
  3. Step 3: Cross multiply
    580.64x = 870.95 × 147.80
  4. Step 4: Simplify right side
    580.64x = 128,725.69
  5. Step 5: Solve for x
    x = 128,725.69/580.64
  6. Step 6: Final answer
    x = 221.70

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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.