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Finding the Fourth Proportional to 632.19, 946.81 and 610.29

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Solution

The fourth proportional to 632.19, 946.81 and 610.29 is: 914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.19 : 946.81 = 610.29 : x
  2. Step 2: Convert to fraction form
    632.19/946.81 = 610.29/x
  3. Step 3: Cross multiply
    632.19x = 946.81 × 610.29
  4. Step 4: Simplify right side
    632.19x = 577,828.67
  5. Step 5: Solve for x
    x = 577,828.67/632.19
  6. Step 6: Final answer
    x = 914.01

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Why These Related Problems?

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