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Finding the Fourth Proportional to 648.96, 973.44 and 430.98

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Solution

The fourth proportional to 648.96, 973.44 and 430.98 is: 646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 973.44 = 430.98 : x
  2. Step 2: Convert to fraction form
    648.96/973.44 = 430.98/x
  3. Step 3: Cross multiply
    648.96x = 973.44 × 430.98
  4. Step 4: Simplify right side
    648.96x = 419,533.17
  5. Step 5: Solve for x
    x = 419,533.17/648.96
  6. Step 6: Final answer
    x = 646.47

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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.