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Finding the Fourth Proportional to 870.65, 1,305.90 and 322.84

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Solution

The fourth proportional to 870.65, 1,305.90 and 322.84 is: 484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.65 : 1,305.90 = 322.84 : x
  2. Step 2: Convert to fraction form
    870.65/1,305.90 = 322.84/x
  3. Step 3: Cross multiply
    870.65x = 1,305.90 × 322.84
  4. Step 4: Simplify right side
    870.65x = 421,596.76
  5. Step 5: Solve for x
    x = 421,596.76/870.65
  6. Step 6: Final answer
    x = 484.23

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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.