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Finding the Fourth Proportional to 520.25, 780.47 and 303.57

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Solution

The fourth proportional to 520.25, 780.47 and 303.57 is: 455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.25 : 780.47 = 303.57 : x
  2. Step 2: Convert to fraction form
    520.25/780.47 = 303.57/x
  3. Step 3: Cross multiply
    520.25x = 780.47 × 303.57
  4. Step 4: Simplify right side
    520.25x = 236,925.76
  5. Step 5: Solve for x
    x = 236,925.76/520.25
  6. Step 6: Final answer
    x = 455.41

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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.