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Finding the Fourth Proportional to 586.56, 810.10 and 409.98

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Solution

The fourth proportional to 586.56, 810.10 and 409.98 is: 566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.56 : 810.10 = 409.98 : x
  2. Step 2: Convert to fraction form
    586.56/810.10 = 409.98/x
  3. Step 3: Cross multiply
    586.56x = 810.10 × 409.98
  4. Step 4: Simplify right side
    586.56x = 332,124.80
  5. Step 5: Solve for x
    x = 332,124.80/586.56
  6. Step 6: Final answer
    x = 566.22

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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.