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Finding the Fourth Proportional to 473.01, 652.16 and 304.67

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Solution

The fourth proportional to 473.01, 652.16 and 304.67 is: 420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.01 : 652.16 = 304.67 : x
  2. Step 2: Convert to fraction form
    473.01/652.16 = 304.67/x
  3. Step 3: Cross multiply
    473.01x = 652.16 × 304.67
  4. Step 4: Simplify right side
    473.01x = 198,695.98
  5. Step 5: Solve for x
    x = 198,695.98/473.01
  6. Step 6: Final answer
    x = 420.07

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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.