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Finding the Fourth Proportional to 653.36, 901.35 and 401.20

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Solution

The fourth proportional to 653.36, 901.35 and 401.20 is: 553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.36 : 901.35 = 401.20 : x
  2. Step 2: Convert to fraction form
    653.36/901.35 = 401.20/x
  3. Step 3: Cross multiply
    653.36x = 901.35 × 401.20
  4. Step 4: Simplify right side
    653.36x = 361,615.11
  5. Step 5: Solve for x
    x = 361,615.11/653.36
  6. Step 6: Final answer
    x = 553.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.