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Finding the Fourth Proportional to 664.83, 916.40 and 524.72

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Solution

The fourth proportional to 664.83, 916.40 and 524.72 is: 723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.83 : 916.40 = 524.72 : x
  2. Step 2: Convert to fraction form
    664.83/916.40 = 524.72/x
  3. Step 3: Cross multiply
    664.83x = 916.40 × 524.72
  4. Step 4: Simplify right side
    664.83x = 480,846.20
  5. Step 5: Solve for x
    x = 480,846.20/664.83
  6. Step 6: Final answer
    x = 723.26

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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.