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Finding the Fourth Proportional to 580.19, 870.01 and 209.95

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Solution

The fourth proportional to 580.19, 870.01 and 209.95 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.19 : 870.01 = 209.95 : x
  2. Step 2: Convert to fraction form
    580.19/870.01 = 209.95/x
  3. Step 3: Cross multiply
    580.19x = 870.01 × 209.95
  4. Step 4: Simplify right side
    580.19x = 182,655.90
  5. Step 5: Solve for x
    x = 182,655.90/580.19
  6. Step 6: Final answer
    x = 314.82

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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.