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Finding the Fourth Proportional to 624.24, 856.37 and 607.16

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Solution

The fourth proportional to 624.24, 856.37 and 607.16 is: 832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.24 : 856.37 = 607.16 : x
  2. Step 2: Convert to fraction form
    624.24/856.37 = 607.16/x
  3. Step 3: Cross multiply
    624.24x = 856.37 × 607.16
  4. Step 4: Simplify right side
    624.24x = 519,957.27
  5. Step 5: Solve for x
    x = 519,957.27/624.24
  6. Step 6: Final answer
    x = 832.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.