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Finding the Fourth Proportional to 469.40, 647.77 and 294.71

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Solution

The fourth proportional to 469.40, 647.77 and 294.71 is: 406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.40 : 647.77 = 294.71 : x
  2. Step 2: Convert to fraction form
    469.40/647.77 = 294.71/x
  3. Step 3: Cross multiply
    469.40x = 647.77 × 294.71
  4. Step 4: Simplify right side
    469.40x = 190,902.82
  5. Step 5: Solve for x
    x = 190,902.82/469.40
  6. Step 6: Final answer
    x = 406.70

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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.