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Finding the Fourth Proportional to 362.84, 542.99 and 297.08

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Solution

The fourth proportional to 362.84, 542.99 and 297.08 is: 444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.84 : 542.99 = 297.08 : x
  2. Step 2: Convert to fraction form
    362.84/542.99 = 297.08/x
  3. Step 3: Cross multiply
    362.84x = 542.99 × 297.08
  4. Step 4: Simplify right side
    362.84x = 161,307.27
  5. Step 5: Solve for x
    x = 161,307.27/362.84
  6. Step 6: Final answer
    x = 444.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.