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Finding the Fourth Proportional to 530.08, 727.07 and 464.44

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Solution

The fourth proportional to 530.08, 727.07 and 464.44 is: 637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.08 : 727.07 = 464.44 : x
  2. Step 2: Convert to fraction form
    530.08/727.07 = 464.44/x
  3. Step 3: Cross multiply
    530.08x = 727.07 × 464.44
  4. Step 4: Simplify right side
    530.08x = 337,680.39
  5. Step 5: Solve for x
    x = 337,680.39/530.08
  6. Step 6: Final answer
    x = 637.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.