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Finding the Fourth Proportional to 507.77, 700.73 and 297.96

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Solution

The fourth proportional to 507.77, 700.73 and 297.96 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.77 : 700.73 = 297.96 : x
  2. Step 2: Convert to fraction form
    507.77/700.73 = 297.96/x
  3. Step 3: Cross multiply
    507.77x = 700.73 × 297.96
  4. Step 4: Simplify right side
    507.77x = 208,788.02
  5. Step 5: Solve for x
    x = 208,788.02/507.77
  6. Step 6: Final answer
    x = 411.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.