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Finding the Fourth Proportional to 530.03, 794.03 and 298.22

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Solution

The fourth proportional to 530.03, 794.03 and 298.22 is: 446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.03 : 794.03 = 298.22 : x
  2. Step 2: Convert to fraction form
    530.03/794.03 = 298.22/x
  3. Step 3: Cross multiply
    530.03x = 794.03 × 298.22
  4. Step 4: Simplify right side
    530.03x = 236,790.17
  5. Step 5: Solve for x
    x = 236,790.17/530.03
  6. Step 6: Final answer
    x = 446.75

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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.