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Finding the Fourth Proportional to 520.42, 780.59 and 277.08

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Solution

The fourth proportional to 520.42, 780.59 and 277.08 is: 415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.42 : 780.59 = 277.08 : x
  2. Step 2: Convert to fraction form
    520.42/780.59 = 277.08/x
  3. Step 3: Cross multiply
    520.42x = 780.59 × 277.08
  4. Step 4: Simplify right side
    520.42x = 216,286.57
  5. Step 5: Solve for x
    x = 216,286.57/520.42
  6. Step 6: Final answer
    x = 415.60

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Why These Related Problems?

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