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Finding the Fourth Proportional to 456.68, 630.24 and 260.19

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Solution

The fourth proportional to 456.68, 630.24 and 260.19 is: 359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 630.24 = 260.19 : x
  2. Step 2: Convert to fraction form
    456.68/630.24 = 260.19/x
  3. Step 3: Cross multiply
    456.68x = 630.24 × 260.19
  4. Step 4: Simplify right side
    456.68x = 163,981.63
  5. Step 5: Solve for x
    x = 163,981.63/456.68
  6. Step 6: Final answer
    x = 359.07

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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.