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Finding the Fourth Proportional to 456.56, 630.18 and 260.09

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Solution

The fourth proportional to 456.56, 630.18 and 260.09 is: 358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 630.18 = 260.09 : x
  2. Step 2: Convert to fraction form
    456.56/630.18 = 260.09/x
  3. Step 3: Cross multiply
    456.56x = 630.18 × 260.09
  4. Step 4: Simplify right side
    456.56x = 163,900.37
  5. Step 5: Solve for x
    x = 163,900.37/456.56
  6. Step 6: Final answer
    x = 358.99

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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.