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Finding the Fourth Proportional to 620.65, 928.54 and 415.32

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Solution

The fourth proportional to 620.65, 928.54 and 415.32 is: 621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.65 : 928.54 = 415.32 : x
  2. Step 2: Convert to fraction form
    620.65/928.54 = 415.32/x
  3. Step 3: Cross multiply
    620.65x = 928.54 × 415.32
  4. Step 4: Simplify right side
    620.65x = 385,641.23
  5. Step 5: Solve for x
    x = 385,641.23/620.65
  6. Step 6: Final answer
    x = 621.35

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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.