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Finding the Fourth Proportional to 430.92, 593.33 and 352.35

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Solution

The fourth proportional to 430.92, 593.33 and 352.35 is: 485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.92 : 593.33 = 352.35 : x
  2. Step 2: Convert to fraction form
    430.92/593.33 = 352.35/x
  3. Step 3: Cross multiply
    430.92x = 593.33 × 352.35
  4. Step 4: Simplify right side
    430.92x = 209,058.06
  5. Step 5: Solve for x
    x = 209,058.06/430.92
  6. Step 6: Final answer
    x = 485.14

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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.