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Finding the Fourth Proportional to 621.23, 857.40 and 473.59

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Solution

The fourth proportional to 621.23, 857.40 and 473.59 is: 653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.23 : 857.40 = 473.59 : x
  2. Step 2: Convert to fraction form
    621.23/857.40 = 473.59/x
  3. Step 3: Cross multiply
    621.23x = 857.40 × 473.59
  4. Step 4: Simplify right side
    621.23x = 406,051.78
  5. Step 5: Solve for x
    x = 406,051.78/621.23
  6. Step 6: Final answer
    x = 653.63

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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.