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Finding the Fourth Proportional to 616.95, 849.94 and 430.10

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Solution

The fourth proportional to 616.95, 849.94 and 430.10 is: 592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.95 : 849.94 = 430.10 : x
  2. Step 2: Convert to fraction form
    616.95/849.94 = 430.10/x
  3. Step 3: Cross multiply
    616.95x = 849.94 × 430.10
  4. Step 4: Simplify right side
    616.95x = 365,557.06
  5. Step 5: Solve for x
    x = 365,557.06/616.95
  6. Step 6: Final answer
    x = 592.52

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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.