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Finding the Fourth Proportional to 469.20, 701.88 and 346.60

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Solution

The fourth proportional to 469.20, 701.88 and 346.60 is: 518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 701.88 = 346.60 : x
  2. Step 2: Convert to fraction form
    469.20/701.88 = 346.60/x
  3. Step 3: Cross multiply
    469.20x = 701.88 × 346.60
  4. Step 4: Simplify right side
    469.20x = 243,271.61
  5. Step 5: Solve for x
    x = 243,271.61/469.20
  6. Step 6: Final answer
    x = 518.48

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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.