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Finding the Fourth Proportional to 551.76, 760.14 and 454.08

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Solution

The fourth proportional to 551.76, 760.14 and 454.08 is: 625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.76 : 760.14 = 454.08 : x
  2. Step 2: Convert to fraction form
    551.76/760.14 = 454.08/x
  3. Step 3: Cross multiply
    551.76x = 760.14 × 454.08
  4. Step 4: Simplify right side
    551.76x = 345,164.37
  5. Step 5: Solve for x
    x = 345,164.37/551.76
  6. Step 6: Final answer
    x = 625.57

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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.