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Finding the Fourth Proportional to 472.93, 653.06 and 457.44

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Solution

The fourth proportional to 472.93, 653.06 and 457.44 is: 631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.93 : 653.06 = 457.44 : x
  2. Step 2: Convert to fraction form
    472.93/653.06 = 457.44/x
  3. Step 3: Cross multiply
    472.93x = 653.06 × 457.44
  4. Step 4: Simplify right side
    472.93x = 298,738.13
  5. Step 5: Solve for x
    x = 298,738.13/472.93
  6. Step 6: Final answer
    x = 631.67

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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.