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Finding the Fourth Proportional to 623.08, 859.85 and 357.45

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Solution

The fourth proportional to 623.08, 859.85 and 357.45 is: 493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.08 : 859.85 = 357.45 : x
  2. Step 2: Convert to fraction form
    623.08/859.85 = 357.45/x
  3. Step 3: Cross multiply
    623.08x = 859.85 × 357.45
  4. Step 4: Simplify right side
    623.08x = 307,349.71
  5. Step 5: Solve for x
    x = 307,349.71/623.08
  6. Step 6: Final answer
    x = 493.28

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