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Finding the Fourth Proportional to 551.34, 758.97 and 477.23

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Solution

The fourth proportional to 551.34, 758.97 and 477.23 is: 656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.34 : 758.97 = 477.23 : x
  2. Step 2: Convert to fraction form
    551.34/758.97 = 477.23/x
  3. Step 3: Cross multiply
    551.34x = 758.97 × 477.23
  4. Step 4: Simplify right side
    551.34x = 362,199.46
  5. Step 5: Solve for x
    x = 362,199.46/551.34
  6. Step 6: Final answer
    x = 656.94

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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.