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Finding the Fourth Proportional to 345.48, 475.34 and 298.70

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Solution

The fourth proportional to 345.48, 475.34 and 298.70 is: 410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.48 : 475.34 = 298.70 : x
  2. Step 2: Convert to fraction form
    345.48/475.34 = 298.70/x
  3. Step 3: Cross multiply
    345.48x = 475.34 × 298.70
  4. Step 4: Simplify right side
    345.48x = 141,984.06
  5. Step 5: Solve for x
    x = 141,984.06/345.48
  6. Step 6: Final answer
    x = 410.98

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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.