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Finding the Fourth Proportional to 586.96, 810.48 and 400.84

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Solution

The fourth proportional to 586.96, 810.48 and 400.84 is: 553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.96 : 810.48 = 400.84 : x
  2. Step 2: Convert to fraction form
    586.96/810.48 = 400.84/x
  3. Step 3: Cross multiply
    586.96x = 810.48 × 400.84
  4. Step 4: Simplify right side
    586.96x = 324,872.80
  5. Step 5: Solve for x
    x = 324,872.80/586.96
  6. Step 6: Final answer
    x = 553.48

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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.