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Finding the Fourth Proportional to 508.80, 701.55 and 322.05

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Solution

The fourth proportional to 508.80, 701.55 and 322.05 is: 444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.80 : 701.55 = 322.05 : x
  2. Step 2: Convert to fraction form
    508.80/701.55 = 322.05/x
  3. Step 3: Cross multiply
    508.80x = 701.55 × 322.05
  4. Step 4: Simplify right side
    508.80x = 225,934.18
  5. Step 5: Solve for x
    x = 225,934.18/508.80
  6. Step 6: Final answer
    x = 444.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.