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Finding the Fourth Proportional to 456.57, 630.06 and 260.07

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Solution

The fourth proportional to 456.57, 630.06 and 260.07 is: 358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 630.06 = 260.07 : x
  2. Step 2: Convert to fraction form
    456.57/630.06 = 260.07/x
  3. Step 3: Cross multiply
    456.57x = 630.06 × 260.07
  4. Step 4: Simplify right side
    456.57x = 163,859.70
  5. Step 5: Solve for x
    x = 163,859.70/456.57
  6. Step 6: Final answer
    x = 358.89

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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.