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Finding the Fourth Proportional to 610.52, 840.08 and 564.03

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Solution

The fourth proportional to 610.52, 840.08 and 564.03 is: 776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.52 : 840.08 = 564.03 : x
  2. Step 2: Convert to fraction form
    610.52/840.08 = 564.03/x
  3. Step 3: Cross multiply
    610.52x = 840.08 × 564.03
  4. Step 4: Simplify right side
    610.52x = 473,831.73
  5. Step 5: Solve for x
    x = 473,831.73/610.52
  6. Step 6: Final answer
    x = 776.12

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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.