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Finding the Fourth Proportional to 428.64, 590.10 and 384.88

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Solution

The fourth proportional to 428.64, 590.10 and 384.88 is: 529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.64 : 590.10 = 384.88 : x
  2. Step 2: Convert to fraction form
    428.64/590.10 = 384.88/x
  3. Step 3: Cross multiply
    428.64x = 590.10 × 384.88
  4. Step 4: Simplify right side
    428.64x = 227,117.69
  5. Step 5: Solve for x
    x = 227,117.69/428.64
  6. Step 6: Final answer
    x = 529.86

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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.