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Finding the Fourth Proportional to 473.90, 653.95 and 264.06

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Solution

The fourth proportional to 473.90, 653.95 and 264.06 is: 364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.90 : 653.95 = 264.06 : x
  2. Step 2: Convert to fraction form
    473.90/653.95 = 264.06/x
  3. Step 3: Cross multiply
    473.90x = 653.95 × 264.06
  4. Step 4: Simplify right side
    473.90x = 172,682.37
  5. Step 5: Solve for x
    x = 172,682.37/473.90
  6. Step 6: Final answer
    x = 364.39

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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.