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Finding the Fourth Proportional to 387.64, 533.80 and 348.24

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Solution

The fourth proportional to 387.64, 533.80 and 348.24 is: 479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.64 : 533.80 = 348.24 : x
  2. Step 2: Convert to fraction form
    387.64/533.80 = 348.24/x
  3. Step 3: Cross multiply
    387.64x = 533.80 × 348.24
  4. Step 4: Simplify right side
    387.64x = 185,890.51
  5. Step 5: Solve for x
    x = 185,890.51/387.64
  6. Step 6: Final answer
    x = 479.54

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