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Finding the Fourth Proportional to 469.04, 702.48 and 366.08

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Solution

The fourth proportional to 469.04, 702.48 and 366.08 is: 548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.04 : 702.48 = 366.08 : x
  2. Step 2: Convert to fraction form
    469.04/702.48 = 366.08/x
  3. Step 3: Cross multiply
    469.04x = 702.48 × 366.08
  4. Step 4: Simplify right side
    469.04x = 257,163.88
  5. Step 5: Solve for x
    x = 257,163.88/469.04
  6. Step 6: Final answer
    x = 548.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.