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Finding the Fourth Proportional to 507.21, 699.48 and 332.25

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Solution

The fourth proportional to 507.21, 699.48 and 332.25 is: 458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.21 : 699.48 = 332.25 : x
  2. Step 2: Convert to fraction form
    507.21/699.48 = 332.25/x
  3. Step 3: Cross multiply
    507.21x = 699.48 × 332.25
  4. Step 4: Simplify right side
    507.21x = 232,402.23
  5. Step 5: Solve for x
    x = 232,402.23/507.21
  6. Step 6: Final answer
    x = 458.20

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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.