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Finding the Fourth Proportional to 360.99, 498.25 and 291.51

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Solution

The fourth proportional to 360.99, 498.25 and 291.51 is: 402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.99 : 498.25 = 291.51 : x
  2. Step 2: Convert to fraction form
    360.99/498.25 = 291.51/x
  3. Step 3: Cross multiply
    360.99x = 498.25 × 291.51
  4. Step 4: Simplify right side
    360.99x = 145,244.86
  5. Step 5: Solve for x
    x = 145,244.86/360.99
  6. Step 6: Final answer
    x = 402.35

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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.