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Finding the Fourth Proportional to 373.15, 559.01 and 289.82

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Solution

The fourth proportional to 373.15, 559.01 and 289.82 is: 434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.15 : 559.01 = 289.82 : x
  2. Step 2: Convert to fraction form
    373.15/559.01 = 289.82/x
  3. Step 3: Cross multiply
    373.15x = 559.01 × 289.82
  4. Step 4: Simplify right side
    373.15x = 162,012.23
  5. Step 5: Solve for x
    x = 162,012.23/373.15
  6. Step 6: Final answer
    x = 434.18

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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.