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Finding the Fourth Proportional to 469.80, 701.35 and 400.60

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Solution

The fourth proportional to 469.80, 701.35 and 400.60 is: 598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.80 : 701.35 = 400.60 : x
  2. Step 2: Convert to fraction form
    469.80/701.35 = 400.60/x
  3. Step 3: Cross multiply
    469.80x = 701.35 × 400.60
  4. Step 4: Simplify right side
    469.80x = 280,960.81
  5. Step 5: Solve for x
    x = 280,960.81/469.80
  6. Step 6: Final answer
    x = 598.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.