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Finding the Fourth Proportional to 616.95, 920.90 and 575.91

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Solution

The fourth proportional to 616.95, 920.90 and 575.91 is: 859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.95 : 920.90 = 575.91 : x
  2. Step 2: Convert to fraction form
    616.95/920.90 = 575.91/x
  3. Step 3: Cross multiply
    616.95x = 920.90 × 575.91
  4. Step 4: Simplify right side
    616.95x = 530,356.96
  5. Step 5: Solve for x
    x = 530,356.96/616.95
  6. Step 6: Final answer
    x = 859.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.