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Finding the Fourth Proportional to 612.64, 916.63 and 338.94

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Solution

The fourth proportional to 612.64, 916.63 and 338.94 is: 507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.64 : 916.63 = 338.94 : x
  2. Step 2: Convert to fraction form
    612.64/916.63 = 338.94/x
  3. Step 3: Cross multiply
    612.64x = 916.63 × 338.94
  4. Step 4: Simplify right side
    612.64x = 310,682.57
  5. Step 5: Solve for x
    x = 310,682.57/612.64
  6. Step 6: Final answer
    x = 507.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.