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Finding the Fourth Proportional to 430.82, 593.93 and 368.75

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Solution

The fourth proportional to 430.82, 593.93 and 368.75 is: 508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.82 : 593.93 = 368.75 : x
  2. Step 2: Convert to fraction form
    430.82/593.93 = 368.75/x
  3. Step 3: Cross multiply
    430.82x = 593.93 × 368.75
  4. Step 4: Simplify right side
    430.82x = 219,014.09
  5. Step 5: Solve for x
    x = 219,014.09/430.82
  6. Step 6: Final answer
    x = 508.37

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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.