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Finding the Fourth Proportional to 530.98, 796.47 and 314.44

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Solution

The fourth proportional to 530.98, 796.47 and 314.44 is: 471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.98 : 796.47 = 314.44 : x
  2. Step 2: Convert to fraction form
    530.98/796.47 = 314.44/x
  3. Step 3: Cross multiply
    530.98x = 796.47 × 314.44
  4. Step 4: Simplify right side
    530.98x = 250,442.03
  5. Step 5: Solve for x
    x = 250,442.03/530.98
  6. Step 6: Final answer
    x = 471.66

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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.