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Finding the Fourth Proportional to 507.82, 700.47 and 321.15

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Solution

The fourth proportional to 507.82, 700.47 and 321.15 is: 442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.82 : 700.47 = 321.15 : x
  2. Step 2: Convert to fraction form
    507.82/700.47 = 321.15/x
  3. Step 3: Cross multiply
    507.82x = 700.47 × 321.15
  4. Step 4: Simplify right side
    507.82x = 224,955.94
  5. Step 5: Solve for x
    x = 224,955.94/507.82
  6. Step 6: Final answer
    x = 442.98

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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.