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Finding the Fourth Proportional to 613.50, 846.61 and 436.58

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Solution

The fourth proportional to 613.50, 846.61 and 436.58 is: 602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.50 : 846.61 = 436.58 : x
  2. Step 2: Convert to fraction form
    613.50/846.61 = 436.58/x
  3. Step 3: Cross multiply
    613.50x = 846.61 × 436.58
  4. Step 4: Simplify right side
    613.50x = 369,612.99
  5. Step 5: Solve for x
    x = 369,612.99/613.50
  6. Step 6: Final answer
    x = 602.47

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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.