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Finding the Fourth Proportional to 870.35, 1,305.21 and 407.84

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Solution

The fourth proportional to 870.35, 1,305.21 and 407.84 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.35 : 1,305.21 = 407.84 : x
  2. Step 2: Convert to fraction form
    870.35/1,305.21 = 407.84/x
  3. Step 3: Cross multiply
    870.35x = 1,305.21 × 407.84
  4. Step 4: Simplify right side
    870.35x = 532,311.85
  5. Step 5: Solve for x
    x = 532,311.85/870.35
  6. Step 6: Final answer
    x = 611.61

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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.