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Finding the Fourth Proportional to 653.42, 901.72 and 354.67

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Solution

The fourth proportional to 653.42, 901.72 and 354.67 is: 489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.42 : 901.72 = 354.67 : x
  2. Step 2: Convert to fraction form
    653.42/901.72 = 354.67/x
  3. Step 3: Cross multiply
    653.42x = 901.72 × 354.67
  4. Step 4: Simplify right side
    653.42x = 319,813.28
  5. Step 5: Solve for x
    x = 319,813.28/653.42
  6. Step 6: Final answer
    x = 489.44

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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.