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Finding the Fourth Proportional to 648.16, 894.91 and 498.52

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Solution

The fourth proportional to 648.16, 894.91 and 498.52 is: 688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 894.91 = 498.52 : x
  2. Step 2: Convert to fraction form
    648.16/894.91 = 498.52/x
  3. Step 3: Cross multiply
    648.16x = 894.91 × 498.52
  4. Step 4: Simplify right side
    648.16x = 446,130.53
  5. Step 5: Solve for x
    x = 446,130.53/648.16
  6. Step 6: Final answer
    x = 688.30

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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.