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Finding the Fourth Proportional to 473.12, 653.16 and 369.44

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Solution

The fourth proportional to 473.12, 653.16 and 369.44 is: 510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.12 : 653.16 = 369.44 : x
  2. Step 2: Convert to fraction form
    473.12/653.16 = 369.44/x
  3. Step 3: Cross multiply
    473.12x = 653.16 × 369.44
  4. Step 4: Simplify right side
    473.12x = 241,303.43
  5. Step 5: Solve for x
    x = 241,303.43/473.12
  6. Step 6: Final answer
    x = 510.03

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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.