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Finding the Fourth Proportional to 473.39, 653.06 and 307.55

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Solution

The fourth proportional to 473.39, 653.06 and 307.55 is: 424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.39 : 653.06 = 307.55 : x
  2. Step 2: Convert to fraction form
    473.39/653.06 = 307.55/x
  3. Step 3: Cross multiply
    473.39x = 653.06 × 307.55
  4. Step 4: Simplify right side
    473.39x = 200,846.11
  5. Step 5: Solve for x
    x = 200,846.11/473.39
  6. Step 6: Final answer
    x = 424.27

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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.