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Finding the Fourth Proportional to 616.86, 924.45 and 339.03

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Solution

The fourth proportional to 616.86, 924.45 and 339.03 is: 508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.86 : 924.45 = 339.03 : x
  2. Step 2: Convert to fraction form
    616.86/924.45 = 339.03/x
  3. Step 3: Cross multiply
    616.86x = 924.45 × 339.03
  4. Step 4: Simplify right side
    616.86x = 313,416.28
  5. Step 5: Solve for x
    x = 313,416.28/616.86
  6. Step 6: Final answer
    x = 508.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.