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Finding the Fourth Proportional to 469, 700.21 and 400.56

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Solution

The fourth proportional to 469, 700.21 and 400.56 is: 598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469 : 700.21 = 400.56 : x
  2. Step 2: Convert to fraction form
    469/700.21 = 400.56/x
  3. Step 3: Cross multiply
    469x = 700.21 × 400.56
  4. Step 4: Simplify right side
    469x = 280,476.12
  5. Step 5: Solve for x
    x = 280,476.12/469
  6. Step 6: Final answer
    x = 598.03

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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.