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Finding the Fourth Proportional to 586.89, 810.05 and 400.46

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Solution

The fourth proportional to 586.89, 810.05 and 400.46 is: 552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.89 : 810.05 = 400.46 : x
  2. Step 2: Convert to fraction form
    586.89/810.05 = 400.46/x
  3. Step 3: Cross multiply
    586.89x = 810.05 × 400.46
  4. Step 4: Simplify right side
    586.89x = 324,388.82
  5. Step 5: Solve for x
    x = 324,388.82/586.89
  6. Step 6: Final answer
    x = 552.73

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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.