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Finding the Fourth Proportional to 587.05, 810.07 and 350.95

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Solution

The fourth proportional to 587.05, 810.07 and 350.95 is: 484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.05 : 810.07 = 350.95 : x
  2. Step 2: Convert to fraction form
    587.05/810.07 = 350.95/x
  3. Step 3: Cross multiply
    587.05x = 810.07 × 350.95
  4. Step 4: Simplify right side
    587.05x = 284,294.96
  5. Step 5: Solve for x
    x = 284,294.96/587.05
  6. Step 6: Final answer
    x = 484.28

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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.