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Finding the Fourth Proportional to 536.23, 740.73 and 419.69

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Solution

The fourth proportional to 536.23, 740.73 and 419.69 is: 579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.23 : 740.73 = 419.69 : x
  2. Step 2: Convert to fraction form
    536.23/740.73 = 419.69/x
  3. Step 3: Cross multiply
    536.23x = 740.73 × 419.69
  4. Step 4: Simplify right side
    536.23x = 310,876.16
  5. Step 5: Solve for x
    x = 310,876.16/536.23
  6. Step 6: Final answer
    x = 579.74

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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.