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Finding the Fourth Proportional to 558.48, 837.24 and 465.69

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Solution

The fourth proportional to 558.48, 837.24 and 465.69 is: 698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.48 : 837.24 = 465.69 : x
  2. Step 2: Convert to fraction form
    558.48/837.24 = 465.69/x
  3. Step 3: Cross multiply
    558.48x = 837.24 × 465.69
  4. Step 4: Simplify right side
    558.48x = 389,894.30
  5. Step 5: Solve for x
    x = 389,894.30/558.48
  6. Step 6: Final answer
    x = 698.13

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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.