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Finding the Fourth Proportional to 578.66, 867.38 and 424.35

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Solution

The fourth proportional to 578.66, 867.38 and 424.35 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.66 : 867.38 = 424.35 : x
  2. Step 2: Convert to fraction form
    578.66/867.38 = 424.35/x
  3. Step 3: Cross multiply
    578.66x = 867.38 × 424.35
  4. Step 4: Simplify right side
    578.66x = 368,070.58
  5. Step 5: Solve for x
    x = 368,070.58/578.66
  6. Step 6: Final answer
    x = 636.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.