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Finding the Fourth Proportional to 393.60, 542.76 and 384.66

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Solution

The fourth proportional to 393.60, 542.76 and 384.66 is: 530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.60 : 542.76 = 384.66 : x
  2. Step 2: Convert to fraction form
    393.60/542.76 = 384.66/x
  3. Step 3: Cross multiply
    393.60x = 542.76 × 384.66
  4. Step 4: Simplify right side
    393.60x = 208,778.06
  5. Step 5: Solve for x
    x = 208,778.06/393.60
  6. Step 6: Final answer
    x = 530.43

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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.