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Finding the Fourth Proportional to 345.56, 475.80 and 296.24

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Solution

The fourth proportional to 345.56, 475.80 and 296.24 is: 407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.56 : 475.80 = 296.24 : x
  2. Step 2: Convert to fraction form
    345.56/475.80 = 296.24/x
  3. Step 3: Cross multiply
    345.56x = 475.80 × 296.24
  4. Step 4: Simplify right side
    345.56x = 140,950.99
  5. Step 5: Solve for x
    x = 140,950.99/345.56
  6. Step 6: Final answer
    x = 407.89

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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.