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Finding the Fourth Proportional to 613.15, 846.73 and 524.10

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Solution

The fourth proportional to 613.15, 846.73 and 524.10 is: 723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.15 : 846.73 = 524.10 : x
  2. Step 2: Convert to fraction form
    613.15/846.73 = 524.10/x
  3. Step 3: Cross multiply
    613.15x = 846.73 × 524.10
  4. Step 4: Simplify right side
    613.15x = 443,775.02
  5. Step 5: Solve for x
    x = 443,775.02/613.15
  6. Step 6: Final answer
    x = 723.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.