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Finding the Fourth Proportional to 616.26, 848.91 and 429.42

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Solution

The fourth proportional to 616.26, 848.91 and 429.42 is: 591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 848.91 = 429.42 : x
  2. Step 2: Convert to fraction form
    616.26/848.91 = 429.42/x
  3. Step 3: Cross multiply
    616.26x = 848.91 × 429.42
  4. Step 4: Simplify right side
    616.26x = 364,538.93
  5. Step 5: Solve for x
    x = 364,538.93/616.26
  6. Step 6: Final answer
    x = 591.53

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