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Finding the Fourth Proportional to 373.07, 559.40 and 286.19

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Solution

The fourth proportional to 373.07, 559.40 and 286.19 is: 429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.07 : 559.40 = 286.19 : x
  2. Step 2: Convert to fraction form
    373.07/559.40 = 286.19/x
  3. Step 3: Cross multiply
    373.07x = 559.40 × 286.19
  4. Step 4: Simplify right side
    373.07x = 160,091.17
  5. Step 5: Solve for x
    x = 160,091.17/373.07
  6. Step 6: Final answer
    x = 429.12

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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.