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Finding the Fourth Proportional to 428.51, 592.52 and 421.56

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Solution

The fourth proportional to 428.51, 592.52 and 421.56 is: 582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.51 : 592.52 = 421.56 : x
  2. Step 2: Convert to fraction form
    428.51/592.52 = 421.56/x
  3. Step 3: Cross multiply
    428.51x = 592.52 × 421.56
  4. Step 4: Simplify right side
    428.51x = 249,781.73
  5. Step 5: Solve for x
    x = 249,781.73/428.51
  6. Step 6: Final answer
    x = 582.90

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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.