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Finding the Fourth Proportional to 456.57, 630.05 and 260.06

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Solution

The fourth proportional to 456.57, 630.05 and 260.06 is: 358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 630.05 = 260.06 : x
  2. Step 2: Convert to fraction form
    456.57/630.05 = 260.06/x
  3. Step 3: Cross multiply
    456.57x = 630.05 × 260.06
  4. Step 4: Simplify right side
    456.57x = 163,846.35
  5. Step 5: Solve for x
    x = 163,846.35/456.57
  6. Step 6: Final answer
    x = 358.86

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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.