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Finding the Fourth Proportional to 530.90, 792.48 and 494.42

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Solution

The fourth proportional to 530.90, 792.48 and 494.42 is: 738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.90 : 792.48 = 494.42 : x
  2. Step 2: Convert to fraction form
    530.90/792.48 = 494.42/x
  3. Step 3: Cross multiply
    530.90x = 792.48 × 494.42
  4. Step 4: Simplify right side
    530.90x = 391,815.49
  5. Step 5: Solve for x
    x = 391,815.49/530.90
  6. Step 6: Final answer
    x = 738.02

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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.