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Finding the Fourth Proportional to 612.84, 845.88 and 380.16

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Solution

The fourth proportional to 612.84, 845.88 and 380.16 is: 524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.84 : 845.88 = 380.16 : x
  2. Step 2: Convert to fraction form
    612.84/845.88 = 380.16/x
  3. Step 3: Cross multiply
    612.84x = 845.88 × 380.16
  4. Step 4: Simplify right side
    612.84x = 321,569.74
  5. Step 5: Solve for x
    x = 321,569.74/612.84
  6. Step 6: Final answer
    x = 524.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.