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Finding the Fourth Proportional to 384.15, 529.64 and 314.13

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Solution

The fourth proportional to 384.15, 529.64 and 314.13 is: 433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.15 : 529.64 = 314.13 : x
  2. Step 2: Convert to fraction form
    384.15/529.64 = 314.13/x
  3. Step 3: Cross multiply
    384.15x = 529.64 × 314.13
  4. Step 4: Simplify right side
    384.15x = 166,374.24
  5. Step 5: Solve for x
    x = 166,374.24/384.15
  6. Step 6: Final answer
    x = 433.10

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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.