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Finding the Fourth Proportional to 410.66, 566.93 and 277.98

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Solution

The fourth proportional to 410.66, 566.93 and 277.98 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.66 : 566.93 = 277.98 : x
  2. Step 2: Convert to fraction form
    410.66/566.93 = 277.98/x
  3. Step 3: Cross multiply
    410.66x = 566.93 × 277.98
  4. Step 4: Simplify right side
    410.66x = 157,595.20
  5. Step 5: Solve for x
    x = 157,595.20/410.66
  6. Step 6: Final answer
    x = 383.76

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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.