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Finding the Fourth Proportional to 520.44, 776.46 and 468.24

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Solution

The fourth proportional to 520.44, 776.46 and 468.24 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 776.46 = 468.24 : x
  2. Step 2: Convert to fraction form
    520.44/776.46 = 468.24/x
  3. Step 3: Cross multiply
    520.44x = 776.46 × 468.24
  4. Step 4: Simplify right side
    520.44x = 363,569.63
  5. Step 5: Solve for x
    x = 363,569.63/520.44
  6. Step 6: Final answer
    x = 698.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.