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Finding the Fourth Proportional to 430.48, 593.04 and 347.36

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Solution

The fourth proportional to 430.48, 593.04 and 347.36 is: 478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.48 : 593.04 = 347.36 : x
  2. Step 2: Convert to fraction form
    430.48/593.04 = 347.36/x
  3. Step 3: Cross multiply
    430.48x = 593.04 × 347.36
  4. Step 4: Simplify right side
    430.48x = 205,998.37
  5. Step 5: Solve for x
    x = 205,998.37/430.48
  6. Step 6: Final answer
    x = 478.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.