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Finding the Fourth Proportional to 587.09, 810.33 and 429.95

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Solution

The fourth proportional to 587.09, 810.33 and 429.95 is: 593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.09 : 810.33 = 429.95 : x
  2. Step 2: Convert to fraction form
    587.09/810.33 = 429.95/x
  3. Step 3: Cross multiply
    587.09x = 810.33 × 429.95
  4. Step 4: Simplify right side
    587.09x = 348,401.38
  5. Step 5: Solve for x
    x = 348,401.38/587.09
  6. Step 6: Final answer
    x = 593.44

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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.