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Finding the Fourth Proportional to 621.04, 856 and 465.52

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Solution

The fourth proportional to 621.04, 856 and 465.52 is: 641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.04 : 856 = 465.52 : x
  2. Step 2: Convert to fraction form
    621.04/856 = 465.52/x
  3. Step 3: Cross multiply
    621.04x = 856 × 465.52
  4. Step 4: Simplify right side
    621.04x = 398,485.12
  5. Step 5: Solve for x
    x = 398,485.12/621.04
  6. Step 6: Final answer
    x = 641.64

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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.