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Finding the Fourth Proportional to 465.47, 640.45 and 403.10

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Solution

The fourth proportional to 465.47, 640.45 and 403.10 is: 554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.47 : 640.45 = 403.10 : x
  2. Step 2: Convert to fraction form
    465.47/640.45 = 403.10/x
  3. Step 3: Cross multiply
    465.47x = 640.45 × 403.10
  4. Step 4: Simplify right side
    465.47x = 258,165.40
  5. Step 5: Solve for x
    x = 258,165.40/465.47
  6. Step 6: Final answer
    x = 554.63

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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.