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Finding the Fourth Proportional to 410.95, 566.45 and 357.65

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Solution

The fourth proportional to 410.95, 566.45 and 357.65 is: 492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.95 : 566.45 = 357.65 : x
  2. Step 2: Convert to fraction form
    410.95/566.45 = 357.65/x
  3. Step 3: Cross multiply
    410.95x = 566.45 × 357.65
  4. Step 4: Simplify right side
    410.95x = 202,586.22
  5. Step 5: Solve for x
    x = 202,586.22/410.95
  6. Step 6: Final answer
    x = 492.97

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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.