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Finding the Fourth Proportional to 612.16, 916.74 and 395.08

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Solution

The fourth proportional to 612.16, 916.74 and 395.08 is: 591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.16 : 916.74 = 395.08 : x
  2. Step 2: Convert to fraction form
    612.16/916.74 = 395.08/x
  3. Step 3: Cross multiply
    612.16x = 916.74 × 395.08
  4. Step 4: Simplify right side
    612.16x = 362,185.64
  5. Step 5: Solve for x
    x = 362,185.64/612.16
  6. Step 6: Final answer
    x = 591.65

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Why These Related Problems?

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