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Finding the Fourth Proportional to 463.39, 697.42 and 348.45

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Solution

The fourth proportional to 463.39, 697.42 and 348.45 is: 524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.39 : 697.42 = 348.45 : x
  2. Step 2: Convert to fraction form
    463.39/697.42 = 348.45/x
  3. Step 3: Cross multiply
    463.39x = 697.42 × 348.45
  4. Step 4: Simplify right side
    463.39x = 243,016.00
  5. Step 5: Solve for x
    x = 243,016.00/463.39
  6. Step 6: Final answer
    x = 524.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.