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Finding the Fourth Proportional to 656.08, 904.98 and 459.52

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Solution

The fourth proportional to 656.08, 904.98 and 459.52 is: 633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.08 : 904.98 = 459.52 : x
  2. Step 2: Convert to fraction form
    656.08/904.98 = 459.52/x
  3. Step 3: Cross multiply
    656.08x = 904.98 × 459.52
  4. Step 4: Simplify right side
    656.08x = 415,856.41
  5. Step 5: Solve for x
    x = 415,856.41/656.08
  6. Step 6: Final answer
    x = 633.85

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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.