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Finding the Fourth Proportional to 507.95, 700.97 and 298.26

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Solution

The fourth proportional to 507.95, 700.97 and 298.26 is: 411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.95 : 700.97 = 298.26 : x
  2. Step 2: Convert to fraction form
    507.95/700.97 = 298.26/x
  3. Step 3: Cross multiply
    507.95x = 700.97 × 298.26
  4. Step 4: Simplify right side
    507.95x = 209,069.82
  5. Step 5: Solve for x
    x = 209,069.82/507.95
  6. Step 6: Final answer
    x = 411.60

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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.