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Finding the Fourth Proportional to 616.26, 848.99 and 429.41

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Solution

The fourth proportional to 616.26, 848.99 and 429.41 is: 591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 848.99 = 429.41 : x
  2. Step 2: Convert to fraction form
    616.26/848.99 = 429.41/x
  3. Step 3: Cross multiply
    616.26x = 848.99 × 429.41
  4. Step 4: Simplify right side
    616.26x = 364,567.74
  5. Step 5: Solve for x
    x = 364,567.74/616.26
  6. Step 6: Final answer
    x = 591.58

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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.