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Finding the Fourth Proportional to 507.44, 700.16 and 341.88

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Solution

The fourth proportional to 507.44, 700.16 and 341.88 is: 471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.44 : 700.16 = 341.88 : x
  2. Step 2: Convert to fraction form
    507.44/700.16 = 341.88/x
  3. Step 3: Cross multiply
    507.44x = 700.16 × 341.88
  4. Step 4: Simplify right side
    507.44x = 239,368.99
  5. Step 5: Solve for x
    x = 239,368.99/507.44
  6. Step 6: Final answer
    x = 471.72

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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.