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Finding the Fourth Proportional to 373.67, 516.13 and 295.10

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Solution

The fourth proportional to 373.67, 516.13 and 295.10 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.67 : 516.13 = 295.10 : x
  2. Step 2: Convert to fraction form
    373.67/516.13 = 295.10/x
  3. Step 3: Cross multiply
    373.67x = 516.13 × 295.10
  4. Step 4: Simplify right side
    373.67x = 152,307.93
  5. Step 5: Solve for x
    x = 152,307.93/373.67
  6. Step 6: Final answer
    x = 407.60

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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.