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Finding the Fourth Proportional to 315.47, 434.40 and 260.11

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Solution

The fourth proportional to 315.47, 434.40 and 260.11 is: 358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.47 : 434.40 = 260.11 : x
  2. Step 2: Convert to fraction form
    315.47/434.40 = 260.11/x
  3. Step 3: Cross multiply
    315.47x = 434.40 × 260.11
  4. Step 4: Simplify right side
    315.47x = 112,991.78
  5. Step 5: Solve for x
    x = 112,991.78/315.47
  6. Step 6: Final answer
    x = 358.17

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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.