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Finding the Fourth Proportional to 508.76, 701.34 and 403.40

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Solution

The fourth proportional to 508.76, 701.34 and 403.40 is: 556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.76 : 701.34 = 403.40 : x
  2. Step 2: Convert to fraction form
    508.76/701.34 = 403.40/x
  3. Step 3: Cross multiply
    508.76x = 701.34 × 403.40
  4. Step 4: Simplify right side
    508.76x = 282,920.56
  5. Step 5: Solve for x
    x = 282,920.56/508.76
  6. Step 6: Final answer
    x = 556.10

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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.