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Finding the Fourth Proportional to 870.15, 1,305.14 and 293.01

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Solution

The fourth proportional to 870.15, 1,305.14 and 293.01 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.15 : 1,305.14 = 293.01 : x
  2. Step 2: Convert to fraction form
    870.15/1,305.14 = 293.01/x
  3. Step 3: Cross multiply
    870.15x = 1,305.14 × 293.01
  4. Step 4: Simplify right side
    870.15x = 382,417.61
  5. Step 5: Solve for x
    x = 382,417.61/870.15
  6. Step 6: Final answer
    x = 439.48

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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.