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Finding the Fourth Proportional to 453.60, 675.71 and 440.01

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Solution

The fourth proportional to 453.60, 675.71 and 440.01 is: 655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.60 : 675.71 = 440.01 : x
  2. Step 2: Convert to fraction form
    453.60/675.71 = 440.01/x
  3. Step 3: Cross multiply
    453.60x = 675.71 × 440.01
  4. Step 4: Simplify right side
    453.60x = 297,320.26
  5. Step 5: Solve for x
    x = 297,320.26/453.60
  6. Step 6: Final answer
    x = 655.47

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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.