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Finding the Fourth Proportional to 342.06, 510.83 and 292.79

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Solution

The fourth proportional to 342.06, 510.83 and 292.79 is: 437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.06 : 510.83 = 292.79 : x
  2. Step 2: Convert to fraction form
    342.06/510.83 = 292.79/x
  3. Step 3: Cross multiply
    342.06x = 510.83 × 292.79
  4. Step 4: Simplify right side
    342.06x = 149,565.92
  5. Step 5: Solve for x
    x = 149,565.92/342.06
  6. Step 6: Final answer
    x = 437.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.