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Finding the Fourth Proportional to 653.00, 901.32 and 404.18

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Solution

The fourth proportional to 653.00, 901.32 and 404.18 is: 557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.00 : 901.32 = 404.18 : x
  2. Step 2: Convert to fraction form
    653.00/901.32 = 404.18/x
  3. Step 3: Cross multiply
    653.00x = 901.32 × 404.18
  4. Step 4: Simplify right side
    653.00x = 364,296.26
  5. Step 5: Solve for x
    x = 364,296.26/653.00
  6. Step 6: Final answer
    x = 557.88

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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.