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Finding the Fourth Proportional to 530.01, 796.47 and 299.25

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Solution

The fourth proportional to 530.01, 796.47 and 299.25 is: 449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.01 : 796.47 = 299.25 : x
  2. Step 2: Convert to fraction form
    530.01/796.47 = 299.25/x
  3. Step 3: Cross multiply
    530.01x = 796.47 × 299.25
  4. Step 4: Simplify right side
    530.01x = 238,343.65
  5. Step 5: Solve for x
    x = 238,343.65/530.01
  6. Step 6: Final answer
    x = 449.70

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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.