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Finding the Fourth Proportional to 632.58, 948.06 and 510.90

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Solution

The fourth proportional to 632.58, 948.06 and 510.90 is: 765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 948.06 = 510.90 : x
  2. Step 2: Convert to fraction form
    632.58/948.06 = 510.90/x
  3. Step 3: Cross multiply
    632.58x = 948.06 × 510.90
  4. Step 4: Simplify right side
    632.58x = 484,363.85
  5. Step 5: Solve for x
    x = 484,363.85/632.58
  6. Step 6: Final answer
    x = 765.70

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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.