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Finding the Fourth Proportional to 520.25, 780.35 and 314.87

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Solution

The fourth proportional to 520.25, 780.35 and 314.87 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.25 : 780.35 = 314.87 : x
  2. Step 2: Convert to fraction form
    520.25/780.35 = 314.87/x
  3. Step 3: Cross multiply
    520.25x = 780.35 × 314.87
  4. Step 4: Simplify right side
    520.25x = 245,703.33
  5. Step 5: Solve for x
    x = 245,703.33/520.25
  6. Step 6: Final answer
    x = 472.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.