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Finding the Fourth Proportional to 653.14, 901.49 and 498.10

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Solution

The fourth proportional to 653.14, 901.49 and 498.10 is: 687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.14 : 901.49 = 498.10 : x
  2. Step 2: Convert to fraction form
    653.14/901.49 = 498.10/x
  3. Step 3: Cross multiply
    653.14x = 901.49 × 498.10
  4. Step 4: Simplify right side
    653.14x = 449,032.17
  5. Step 5: Solve for x
    x = 449,032.17/653.14
  6. Step 6: Final answer
    x = 687.50

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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.