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Finding the Fourth Proportional to 440.80, 657.74 and 402

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Solution

The fourth proportional to 440.80, 657.74 and 402 is: 599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.80 : 657.74 = 402 : x
  2. Step 2: Convert to fraction form
    440.80/657.74 = 402/x
  3. Step 3: Cross multiply
    440.80x = 657.74 × 402
  4. Step 4: Simplify right side
    440.80x = 264,411.48
  5. Step 5: Solve for x
    x = 264,411.48/440.80
  6. Step 6: Final answer
    x = 599.84

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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.