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Finding the Fourth Proportional to 504.90, 754.07 and 423.72

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Solution

The fourth proportional to 504.90, 754.07 and 423.72 is: 632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.90 : 754.07 = 423.72 : x
  2. Step 2: Convert to fraction form
    504.90/754.07 = 423.72/x
  3. Step 3: Cross multiply
    504.90x = 754.07 × 423.72
  4. Step 4: Simplify right side
    504.90x = 319,512.42
  5. Step 5: Solve for x
    x = 319,512.42/504.90
  6. Step 6: Final answer
    x = 632.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.