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Finding the Fourth Proportional to 620.06, 928.64 and 376.15

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Solution

The fourth proportional to 620.06, 928.64 and 376.15 is: 563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.06 : 928.64 = 376.15 : x
  2. Step 2: Convert to fraction form
    620.06/928.64 = 376.15/x
  3. Step 3: Cross multiply
    620.06x = 928.64 × 376.15
  4. Step 4: Simplify right side
    620.06x = 349,307.94
  5. Step 5: Solve for x
    x = 349,307.94/620.06
  6. Step 6: Final answer
    x = 563.35

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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.