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Finding the Fourth Proportional to 620.47, 856.29 and 358.53

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Solution

The fourth proportional to 620.47, 856.29 and 358.53 is: 494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.47 : 856.29 = 358.53 : x
  2. Step 2: Convert to fraction form
    620.47/856.29 = 358.53/x
  3. Step 3: Cross multiply
    620.47x = 856.29 × 358.53
  4. Step 4: Simplify right side
    620.47x = 307,005.65
  5. Step 5: Solve for x
    x = 307,005.65/620.47
  6. Step 6: Final answer
    x = 494.80

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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.