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Finding the Fourth Proportional to 380.55, 524.19 and 354.06

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Solution

The fourth proportional to 380.55, 524.19 and 354.06 is: 487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.55 : 524.19 = 354.06 : x
  2. Step 2: Convert to fraction form
    380.55/524.19 = 354.06/x
  3. Step 3: Cross multiply
    380.55x = 524.19 × 354.06
  4. Step 4: Simplify right side
    380.55x = 185,594.71
  5. Step 5: Solve for x
    x = 185,594.71/380.55
  6. Step 6: Final answer
    x = 487.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.