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Finding the Fourth Proportional to 507.97, 700.77 and 298.16

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Solution

The fourth proportional to 507.97, 700.77 and 298.16 is: 411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.97 : 700.77 = 298.16 : x
  2. Step 2: Convert to fraction form
    507.97/700.77 = 298.16/x
  3. Step 3: Cross multiply
    507.97x = 700.77 × 298.16
  4. Step 4: Simplify right side
    507.97x = 208,941.58
  5. Step 5: Solve for x
    x = 208,941.58/507.97
  6. Step 6: Final answer
    x = 411.33

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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.