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Finding the Fourth Proportional to 558.50, 837.63 and 312.17

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Solution

The fourth proportional to 558.50, 837.63 and 312.17 is: 468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.50 : 837.63 = 312.17 : x
  2. Step 2: Convert to fraction form
    558.50/837.63 = 312.17/x
  3. Step 3: Cross multiply
    558.50x = 837.63 × 312.17
  4. Step 4: Simplify right side
    558.50x = 261,478.77
  5. Step 5: Solve for x
    x = 261,478.77/558.50
  6. Step 6: Final answer
    x = 468.18

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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.