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Finding the Fourth Proportional to 469.55, 647.71 and 294.59

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Solution

The fourth proportional to 469.55, 647.71 and 294.59 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.55 : 647.71 = 294.59 : x
  2. Step 2: Convert to fraction form
    469.55/647.71 = 294.59/x
  3. Step 3: Cross multiply
    469.55x = 647.71 × 294.59
  4. Step 4: Simplify right side
    469.55x = 190,808.89
  5. Step 5: Solve for x
    x = 190,808.89/469.55
  6. Step 6: Final answer
    x = 406.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.