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Finding the Fourth Proportional to 340.40, 458.10 and 340.40

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Solution

The fourth proportional to 340.40, 458.10 and 340.40 is: 458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 458.10 = 340.40 : x
  2. Step 2: Convert to fraction form
    340.40/458.10 = 340.40/x
  3. Step 3: Cross multiply
    340.40x = 458.10 × 340.40
  4. Step 4: Simplify right side
    340.40x = 155,937.24
  5. Step 5: Solve for x
    x = 155,937.24/340.40
  6. Step 6: Final answer
    x = 458.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.