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Finding the Fourth Proportional to 651.80, 977.00 and 322.25

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Solution

The fourth proportional to 651.80, 977.00 and 322.25 is: 483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.80 : 977.00 = 322.25 : x
  2. Step 2: Convert to fraction form
    651.80/977.00 = 322.25/x
  3. Step 3: Cross multiply
    651.80x = 977.00 × 322.25
  4. Step 4: Simplify right side
    651.80x = 314,831.75
  5. Step 5: Solve for x
    x = 314,831.75/651.80
  6. Step 6: Final answer
    x = 483.02

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Why These Related Problems?

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