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Finding the Fourth Proportional to 653.46, 901.44 and 417.30

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Solution

The fourth proportional to 653.46, 901.44 and 417.30 is: 575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.46 : 901.44 = 417.30 : x
  2. Step 2: Convert to fraction form
    653.46/901.44 = 417.30/x
  3. Step 3: Cross multiply
    653.46x = 901.44 × 417.30
  4. Step 4: Simplify right side
    653.46x = 376,170.91
  5. Step 5: Solve for x
    x = 376,170.91/653.46
  6. Step 6: Final answer
    x = 575.66

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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.