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Finding the Fourth Proportional to 377.06, 564.98 and 325.62

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Solution

The fourth proportional to 377.06, 564.98 and 325.62 is: 487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 564.98 = 325.62 : x
  2. Step 2: Convert to fraction form
    377.06/564.98 = 325.62/x
  3. Step 3: Cross multiply
    377.06x = 564.98 × 325.62
  4. Step 4: Simplify right side
    377.06x = 183,967.16
  5. Step 5: Solve for x
    x = 183,967.16/377.06
  6. Step 6: Final answer
    x = 487.91

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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.