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Finding the Fourth Proportional to 530.02, 794.13 and 414.42

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Solution

The fourth proportional to 530.02, 794.13 and 414.42 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.02 : 794.13 = 414.42 : x
  2. Step 2: Convert to fraction form
    530.02/794.13 = 414.42/x
  3. Step 3: Cross multiply
    530.02x = 794.13 × 414.42
  4. Step 4: Simplify right side
    530.02x = 329,103.35
  5. Step 5: Solve for x
    x = 329,103.35/530.02
  6. Step 6: Final answer
    x = 620.93

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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.