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Finding the Fourth Proportional to 530.35, 733.44 and 464.74

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Solution

The fourth proportional to 530.35, 733.44 and 464.74 is: 642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.35 : 733.44 = 464.74 : x
  2. Step 2: Convert to fraction form
    530.35/733.44 = 464.74/x
  3. Step 3: Cross multiply
    530.35x = 733.44 × 464.74
  4. Step 4: Simplify right side
    530.35x = 340,858.91
  5. Step 5: Solve for x
    x = 340,858.91/530.35
  6. Step 6: Final answer
    x = 642.71

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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.