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Finding the Fourth Proportional to 576.66, 794.95 and 458.68

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Solution

The fourth proportional to 576.66, 794.95 and 458.68 is: 632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.66 : 794.95 = 458.68 : x
  2. Step 2: Convert to fraction form
    576.66/794.95 = 458.68/x
  3. Step 3: Cross multiply
    576.66x = 794.95 × 458.68
  4. Step 4: Simplify right side
    576.66x = 364,627.96
  5. Step 5: Solve for x
    x = 364,627.96/576.66
  6. Step 6: Final answer
    x = 632.31

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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.