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Finding the Fourth Proportional to 653.34, 901.16 and 404.40

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Solution

The fourth proportional to 653.34, 901.16 and 404.40 is: 557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.34 : 901.16 = 404.40 : x
  2. Step 2: Convert to fraction form
    653.34/901.16 = 404.40/x
  3. Step 3: Cross multiply
    653.34x = 901.16 × 404.40
  4. Step 4: Simplify right side
    653.34x = 364,429.10
  5. Step 5: Solve for x
    x = 364,429.10/653.34
  6. Step 6: Final answer
    x = 557.79

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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.