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Finding the Fourth Proportional to 420.52, 631.44 and 347.23

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Solution

The fourth proportional to 420.52, 631.44 and 347.23 is: 521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.52 : 631.44 = 347.23 : x
  2. Step 2: Convert to fraction form
    420.52/631.44 = 347.23/x
  3. Step 3: Cross multiply
    420.52x = 631.44 × 347.23
  4. Step 4: Simplify right side
    420.52x = 219,254.91
  5. Step 5: Solve for x
    x = 219,254.91/420.52
  6. Step 6: Final answer
    x = 521.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.