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Finding the Fourth Proportional to 870.17, 1,304.85 and 407.80

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Solution

The fourth proportional to 870.17, 1,304.85 and 407.80 is: 611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.17 : 1,304.85 = 407.80 : x
  2. Step 2: Convert to fraction form
    870.17/1,304.85 = 407.80/x
  3. Step 3: Cross multiply
    870.17x = 1,304.85 × 407.80
  4. Step 4: Simplify right side
    870.17x = 532,111.31
  5. Step 5: Solve for x
    x = 532,111.31/870.17
  6. Step 6: Final answer
    x = 611.50

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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.