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Finding the Fourth Proportional to 463.14, 697.04 and 348.18

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Solution

The fourth proportional to 463.14, 697.04 and 348.18 is: 524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 697.04 = 348.18 : x
  2. Step 2: Convert to fraction form
    463.14/697.04 = 348.18/x
  3. Step 3: Cross multiply
    463.14x = 697.04 × 348.18
  4. Step 4: Simplify right side
    463.14x = 242,693.65
  5. Step 5: Solve for x
    x = 242,693.65/463.14
  6. Step 6: Final answer
    x = 524.02

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Why These Related Problems?

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