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Finding the Fourth Proportional to 437.35, 613.10 and 437.35

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Solution

The fourth proportional to 437.35, 613.10 and 437.35 is: 613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.35 : 613.10 = 437.35 : x
  2. Step 2: Convert to fraction form
    437.35/613.10 = 437.35/x
  3. Step 3: Cross multiply
    437.35x = 613.10 × 437.35
  4. Step 4: Simplify right side
    437.35x = 268,139.29
  5. Step 5: Solve for x
    x = 268,139.29/437.35
  6. Step 6: Final answer
    x = 613.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.