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Finding the Fourth Proportional to 632.61, 946.49 and 358.83

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Solution

The fourth proportional to 632.61, 946.49 and 358.83 is: 536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.61 : 946.49 = 358.83 : x
  2. Step 2: Convert to fraction form
    632.61/946.49 = 358.83/x
  3. Step 3: Cross multiply
    632.61x = 946.49 × 358.83
  4. Step 4: Simplify right side
    632.61x = 339,627.21
  5. Step 5: Solve for x
    x = 339,627.21/632.61
  6. Step 6: Final answer
    x = 536.87

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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.