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Finding the Fourth Proportional to 297.98, 410.29 and 285.68

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Solution

The fourth proportional to 297.98, 410.29 and 285.68 is: 393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.98 : 410.29 = 285.68 : x
  2. Step 2: Convert to fraction form
    297.98/410.29 = 285.68/x
  3. Step 3: Cross multiply
    297.98x = 410.29 × 285.68
  4. Step 4: Simplify right side
    297.98x = 117,210.45
  5. Step 5: Solve for x
    x = 117,210.45/297.98
  6. Step 6: Final answer
    x = 393.35

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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.