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Finding the Fourth Proportional to 456.54, 630.13 and 260.16

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Solution

The fourth proportional to 456.54, 630.13 and 260.16 is: 359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.54 : 630.13 = 260.16 : x
  2. Step 2: Convert to fraction form
    456.54/630.13 = 260.16/x
  3. Step 3: Cross multiply
    456.54x = 630.13 × 260.16
  4. Step 4: Simplify right side
    456.54x = 163,935.64
  5. Step 5: Solve for x
    x = 163,935.64/456.54
  6. Step 6: Final answer
    x = 359.09

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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.