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Finding the Fourth Proportional to 613.48, 846.28 and 438.52

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Solution

The fourth proportional to 613.48, 846.28 and 438.52 is: 604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.48 : 846.28 = 438.52 : x
  2. Step 2: Convert to fraction form
    613.48/846.28 = 438.52/x
  3. Step 3: Cross multiply
    613.48x = 846.28 × 438.52
  4. Step 4: Simplify right side
    613.48x = 371,110.71
  5. Step 5: Solve for x
    x = 371,110.71/613.48
  6. Step 6: Final answer
    x = 604.93

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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.