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Finding the Fourth Proportional to 621.95, 932.65 and 189.02

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Solution

The fourth proportional to 621.95, 932.65 and 189.02 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.95 : 932.65 = 189.02 : x
  2. Step 2: Convert to fraction form
    621.95/932.65 = 189.02/x
  3. Step 3: Cross multiply
    621.95x = 932.65 × 189.02
  4. Step 4: Simplify right side
    621.95x = 176,289.50
  5. Step 5: Solve for x
    x = 176,289.50/621.95
  6. Step 6: Final answer
    x = 283.45

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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.