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Finding the Fourth Proportional to 616.93, 851.16 and 407.21

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Solution

The fourth proportional to 616.93, 851.16 and 407.21 is: 561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.93 : 851.16 = 407.21 : x
  2. Step 2: Convert to fraction form
    616.93/851.16 = 407.21/x
  3. Step 3: Cross multiply
    616.93x = 851.16 × 407.21
  4. Step 4: Simplify right side
    616.93x = 346,600.86
  5. Step 5: Solve for x
    x = 346,600.86/616.93
  6. Step 6: Final answer
    x = 561.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.