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Finding the Fourth Proportional to 507.54, 700.84 and 342.30

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Solution

The fourth proportional to 507.54, 700.84 and 342.30 is: 472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.54 : 700.84 = 342.30 : x
  2. Step 2: Convert to fraction form
    507.54/700.84 = 342.30/x
  3. Step 3: Cross multiply
    507.54x = 700.84 × 342.30
  4. Step 4: Simplify right side
    507.54x = 239,895.82
  5. Step 5: Solve for x
    x = 239,895.82/507.54
  6. Step 6: Final answer
    x = 472.66

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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.