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Finding the Fourth Proportional to 469.13, 703.44 and 264.10

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Solution

The fourth proportional to 469.13, 703.44 and 264.10 is: 396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.13 : 703.44 = 264.10 : x
  2. Step 2: Convert to fraction form
    469.13/703.44 = 264.10/x
  3. Step 3: Cross multiply
    469.13x = 703.44 × 264.10
  4. Step 4: Simplify right side
    469.13x = 185,774.44
  5. Step 5: Solve for x
    x = 185,774.44/469.13
  6. Step 6: Final answer
    x = 396.00

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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.