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Finding the Fourth Proportional to 632.84, 948.72 and 373.12

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Solution

The fourth proportional to 632.84, 948.72 and 373.12 is: 559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.84 : 948.72 = 373.12 : x
  2. Step 2: Convert to fraction form
    632.84/948.72 = 373.12/x
  3. Step 3: Cross multiply
    632.84x = 948.72 × 373.12
  4. Step 4: Simplify right side
    632.84x = 353,986.41
  5. Step 5: Solve for x
    x = 353,986.41/632.84
  6. Step 6: Final answer
    x = 559.36

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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.