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Finding the Fourth Proportional to 469.57, 647.91 and 322.15

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Solution

The fourth proportional to 469.57, 647.91 and 322.15 is: 444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.57 : 647.91 = 322.15 : x
  2. Step 2: Convert to fraction form
    469.57/647.91 = 322.15/x
  3. Step 3: Cross multiply
    469.57x = 647.91 × 322.15
  4. Step 4: Simplify right side
    469.57x = 208,724.21
  5. Step 5: Solve for x
    x = 208,724.21/469.57
  6. Step 6: Final answer
    x = 444.50

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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.