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Finding the Fourth Proportional to 653.06, 900.16 and 456.22

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Solution

The fourth proportional to 653.06, 900.16 and 456.22 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 900.16 = 456.22 : x
  2. Step 2: Convert to fraction form
    653.06/900.16 = 456.22/x
  3. Step 3: Cross multiply
    653.06x = 900.16 × 456.22
  4. Step 4: Simplify right side
    653.06x = 410,671.00
  5. Step 5: Solve for x
    x = 410,671.00/653.06
  6. Step 6: Final answer
    x = 628.84

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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.