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Finding the Fourth Proportional to 623.76, 858.91 and 610.10

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Solution

The fourth proportional to 623.76, 858.91 and 610.10 is: 840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.76 : 858.91 = 610.10 : x
  2. Step 2: Convert to fraction form
    623.76/858.91 = 610.10/x
  3. Step 3: Cross multiply
    623.76x = 858.91 × 610.10
  4. Step 4: Simplify right side
    623.76x = 524,013.65
  5. Step 5: Solve for x
    x = 524,013.65/623.76
  6. Step 6: Final answer
    x = 840.09

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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.