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Finding the Fourth Proportional to 452.09, 677.08 and 348.55

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Solution

The fourth proportional to 452.09, 677.08 and 348.55 is: 522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.09 : 677.08 = 348.55 : x
  2. Step 2: Convert to fraction form
    452.09/677.08 = 348.55/x
  3. Step 3: Cross multiply
    452.09x = 677.08 × 348.55
  4. Step 4: Simplify right side
    452.09x = 235,994.49
  5. Step 5: Solve for x
    x = 235,994.49/452.09
  6. Step 6: Final answer
    x = 522.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.