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Finding the Fourth Proportional to 469.48, 703.53 and 442.21

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Solution

The fourth proportional to 469.48, 703.53 and 442.21 is: 662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 703.53 = 442.21 : x
  2. Step 2: Convert to fraction form
    469.48/703.53 = 442.21/x
  3. Step 3: Cross multiply
    469.48x = 703.53 × 442.21
  4. Step 4: Simplify right side
    469.48x = 311,108.00
  5. Step 5: Solve for x
    x = 311,108.00/469.48
  6. Step 6: Final answer
    x = 662.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.