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Finding the Fourth Proportional to 342.77, 514.15 and 278.51

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Solution

The fourth proportional to 342.77, 514.15 and 278.51 is: 417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.77 : 514.15 = 278.51 : x
  2. Step 2: Convert to fraction form
    342.77/514.15 = 278.51/x
  3. Step 3: Cross multiply
    342.77x = 514.15 × 278.51
  4. Step 4: Simplify right side
    342.77x = 143,192.65
  5. Step 5: Solve for x
    x = 143,192.65/342.77
  6. Step 6: Final answer
    x = 417.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.