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Finding the Fourth Proportional to 374.77, 516.58 and 295.95

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Solution

The fourth proportional to 374.77, 516.58 and 295.95 is: 407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.77 : 516.58 = 295.95 : x
  2. Step 2: Convert to fraction form
    374.77/516.58 = 295.95/x
  3. Step 3: Cross multiply
    374.77x = 516.58 × 295.95
  4. Step 4: Simplify right side
    374.77x = 152,881.85
  5. Step 5: Solve for x
    x = 152,881.85/374.77
  6. Step 6: Final answer
    x = 407.94

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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.