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Finding the Fourth Proportional to 473.72, 653.82 and 266.72

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Solution

The fourth proportional to 473.72, 653.82 and 266.72 is: 368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.72 : 653.82 = 266.72 : x
  2. Step 2: Convert to fraction form
    473.72/653.82 = 266.72/x
  3. Step 3: Cross multiply
    473.72x = 653.82 × 266.72
  4. Step 4: Simplify right side
    473.72x = 174,386.87
  5. Step 5: Solve for x
    x = 174,386.87/473.72
  6. Step 6: Final answer
    x = 368.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.