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Finding the Fourth Proportional to 622.60, 856.90 and 456.54

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Solution

The fourth proportional to 622.60, 856.90 and 456.54 is: 628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.60 : 856.90 = 456.54 : x
  2. Step 2: Convert to fraction form
    622.60/856.90 = 456.54/x
  3. Step 3: Cross multiply
    622.60x = 856.90 × 456.54
  4. Step 4: Simplify right side
    622.60x = 391,209.13
  5. Step 5: Solve for x
    x = 391,209.13/622.60
  6. Step 6: Final answer
    x = 628.35

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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.