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Finding the Fourth Proportional to 469.64, 647.73 and 322.04

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Solution

The fourth proportional to 469.64, 647.73 and 322.04 is: 444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.64 : 647.73 = 322.04 : x
  2. Step 2: Convert to fraction form
    469.64/647.73 = 322.04/x
  3. Step 3: Cross multiply
    469.64x = 647.73 × 322.04
  4. Step 4: Simplify right side
    469.64x = 208,594.97
  5. Step 5: Solve for x
    x = 208,594.97/469.64
  6. Step 6: Final answer
    x = 444.16

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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.