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Finding the Fourth Proportional to 520.71, 780.14 and 464.21

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Solution

The fourth proportional to 520.71, 780.14 and 464.21 is: 695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.71 : 780.14 = 464.21 : x
  2. Step 2: Convert to fraction form
    520.71/780.14 = 464.21/x
  3. Step 3: Cross multiply
    520.71x = 780.14 × 464.21
  4. Step 4: Simplify right side
    520.71x = 362,148.79
  5. Step 5: Solve for x
    x = 362,148.79/520.71
  6. Step 6: Final answer
    x = 695.49

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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.