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Finding the Fourth Proportional to 632.61, 946.08 and 412.65

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Solution

The fourth proportional to 632.61, 946.08 and 412.65 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.61 : 946.08 = 412.65 : x
  2. Step 2: Convert to fraction form
    632.61/946.08 = 412.65/x
  3. Step 3: Cross multiply
    632.61x = 946.08 × 412.65
  4. Step 4: Simplify right side
    632.61x = 390,399.91
  5. Step 5: Solve for x
    x = 390,399.91/632.61
  6. Step 6: Final answer
    x = 617.13

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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.