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Finding the Fourth Proportional to 493.68, 681.35 and 297.30

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Solution

The fourth proportional to 493.68, 681.35 and 297.30 is: 410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.68 : 681.35 = 297.30 : x
  2. Step 2: Convert to fraction form
    493.68/681.35 = 297.30/x
  3. Step 3: Cross multiply
    493.68x = 681.35 × 297.30
  4. Step 4: Simplify right side
    493.68x = 202,565.36
  5. Step 5: Solve for x
    x = 202,565.36/493.68
  6. Step 6: Final answer
    x = 410.32

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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.