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Finding the Fourth Proportional to 362.62, 541.08 and 340.58

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Solution

The fourth proportional to 362.62, 541.08 and 340.58 is: 508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.62 : 541.08 = 340.58 : x
  2. Step 2: Convert to fraction form
    362.62/541.08 = 340.58/x
  3. Step 3: Cross multiply
    362.62x = 541.08 × 340.58
  4. Step 4: Simplify right side
    362.62x = 184,281.03
  5. Step 5: Solve for x
    x = 184,281.03/362.62
  6. Step 6: Final answer
    x = 508.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.