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Finding the Fourth Proportional to 581.56, 872.14 and 292.92

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Solution

The fourth proportional to 581.56, 872.14 and 292.92 is: 439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.56 : 872.14 = 292.92 : x
  2. Step 2: Convert to fraction form
    581.56/872.14 = 292.92/x
  3. Step 3: Cross multiply
    581.56x = 872.14 × 292.92
  4. Step 4: Simplify right side
    581.56x = 255,467.25
  5. Step 5: Solve for x
    x = 255,467.25/581.56
  6. Step 6: Final answer
    x = 439.28

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1.5x scale

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.