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Finding the Fourth Proportional to 456.81, 630.34 and 260.29

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Solution

The fourth proportional to 456.81, 630.34 and 260.29 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.81 : 630.34 = 260.29 : x
  2. Step 2: Convert to fraction form
    456.81/630.34 = 260.29/x
  3. Step 3: Cross multiply
    456.81x = 630.34 × 260.29
  4. Step 4: Simplify right side
    456.81x = 164,071.20
  5. Step 5: Solve for x
    x = 164,071.20/456.81
  6. Step 6: Final answer
    x = 359.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.