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Finding the Fourth Proportional to 508.95, 701.89 and 430.43

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Solution

The fourth proportional to 508.95, 701.89 and 430.43 is: 593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.95 : 701.89 = 430.43 : x
  2. Step 2: Convert to fraction form
    508.95/701.89 = 430.43/x
  3. Step 3: Cross multiply
    508.95x = 701.89 × 430.43
  4. Step 4: Simplify right side
    508.95x = 302,116.57
  5. Step 5: Solve for x
    x = 302,116.57/508.95
  6. Step 6: Final answer
    x = 593.61

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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.