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Finding the Fourth Proportional to 623.16, 859.91 and 357.68

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Solution

The fourth proportional to 623.16, 859.91 and 357.68 is: 493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 859.91 = 357.68 : x
  2. Step 2: Convert to fraction form
    623.16/859.91 = 357.68/x
  3. Step 3: Cross multiply
    623.16x = 859.91 × 357.68
  4. Step 4: Simplify right side
    623.16x = 307,569.75
  5. Step 5: Solve for x
    x = 307,569.75/623.16
  6. Step 6: Final answer
    x = 493.57

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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.