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Finding the Fourth Proportional to 493.60, 681.30 and 297.08

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Solution

The fourth proportional to 493.60, 681.30 and 297.08 is: 410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.60 : 681.30 = 297.08 : x
  2. Step 2: Convert to fraction form
    493.60/681.30 = 297.08/x
  3. Step 3: Cross multiply
    493.60x = 681.30 × 297.08
  4. Step 4: Simplify right side
    493.60x = 202,399.12
  5. Step 5: Solve for x
    x = 202,399.12/493.60
  6. Step 6: Final answer
    x = 410.05

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Why These Related Problems?

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