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Finding the Fourth Proportional to 616.04, 848.16 and 522.65

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Solution

The fourth proportional to 616.04, 848.16 and 522.65 is: 719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.04 : 848.16 = 522.65 : x
  2. Step 2: Convert to fraction form
    616.04/848.16 = 522.65/x
  3. Step 3: Cross multiply
    616.04x = 848.16 × 522.65
  4. Step 4: Simplify right side
    616.04x = 443,286.58
  5. Step 5: Solve for x
    x = 443,286.58/616.04
  6. Step 6: Final answer
    x = 719.58

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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.