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Finding the Fourth Proportional to 508.16, 701.76 and 469.28

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Solution

The fourth proportional to 508.16, 701.76 and 469.28 is: 648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.16 : 701.76 = 469.28 : x
  2. Step 2: Convert to fraction form
    508.16/701.76 = 469.28/x
  3. Step 3: Cross multiply
    508.16x = 701.76 × 469.28
  4. Step 4: Simplify right side
    508.16x = 329,321.93
  5. Step 5: Solve for x
    x = 329,321.93/508.16
  6. Step 6: Final answer
    x = 648.07

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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.