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Finding the Fourth Proportional to 524.70, 783.16 and 463.20

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Solution

The fourth proportional to 524.70, 783.16 and 463.20 is: 691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.70 : 783.16 = 463.20 : x
  2. Step 2: Convert to fraction form
    524.70/783.16 = 463.20/x
  3. Step 3: Cross multiply
    524.70x = 783.16 × 463.20
  4. Step 4: Simplify right side
    524.70x = 362,759.71
  5. Step 5: Solve for x
    x = 362,759.71/524.70
  6. Step 6: Final answer
    x = 691.37

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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.