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Finding the Fourth Proportional to 530.13, 794.18 and 414.03

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Solution

The fourth proportional to 530.13, 794.18 and 414.03 is: 620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.13 : 794.18 = 414.03 : x
  2. Step 2: Convert to fraction form
    530.13/794.18 = 414.03/x
  3. Step 3: Cross multiply
    530.13x = 794.18 × 414.03
  4. Step 4: Simplify right side
    530.13x = 328,808.30
  5. Step 5: Solve for x
    x = 328,808.30/530.13
  6. Step 6: Final answer
    x = 620.25

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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.