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Finding the Fourth Proportional to 616.77, 849.60 and 429.93

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Solution

The fourth proportional to 616.77, 849.60 and 429.93 is: 592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.77 : 849.60 = 429.93 : x
  2. Step 2: Convert to fraction form
    616.77/849.60 = 429.93/x
  3. Step 3: Cross multiply
    616.77x = 849.60 × 429.93
  4. Step 4: Simplify right side
    616.77x = 365,268.53
  5. Step 5: Solve for x
    x = 365,268.53/616.77
  6. Step 6: Final answer
    x = 592.23

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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.