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Finding the Fourth Proportional to 530.04, 729.46 and 448.22

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Solution

The fourth proportional to 530.04, 729.46 and 448.22 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.04 : 729.46 = 448.22 : x
  2. Step 2: Convert to fraction form
    530.04/729.46 = 448.22/x
  3. Step 3: Cross multiply
    530.04x = 729.46 × 448.22
  4. Step 4: Simplify right side
    530.04x = 326,958.56
  5. Step 5: Solve for x
    x = 326,958.56/530.04
  6. Step 6: Final answer
    x = 616.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.