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Finding the Fourth Proportional to 469.50, 647.91 and 295.08

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Solution

The fourth proportional to 469.50, 647.91 and 295.08 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.50 : 647.91 = 295.08 : x
  2. Step 2: Convert to fraction form
    469.50/647.91 = 295.08/x
  3. Step 3: Cross multiply
    469.50x = 647.91 × 295.08
  4. Step 4: Simplify right side
    469.50x = 191,185.28
  5. Step 5: Solve for x
    x = 191,185.28/469.50
  6. Step 6: Final answer
    x = 407.21

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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.