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Finding the Fourth Proportional to 359.95, 497.06 and 229

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Solution

The fourth proportional to 359.95, 497.06 and 229 is: 316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.95 : 497.06 = 229 : x
  2. Step 2: Convert to fraction form
    359.95/497.06 = 229/x
  3. Step 3: Cross multiply
    359.95x = 497.06 × 229
  4. Step 4: Simplify right side
    359.95x = 113,826.74
  5. Step 5: Solve for x
    x = 113,826.74/359.95
  6. Step 6: Final answer
    x = 316.23

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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.