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Finding the Fourth Proportional to 973.29, 1,459.34 and 418.36

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Solution

The fourth proportional to 973.29, 1,459.34 and 418.36 is: 627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.29 : 1,459.34 = 418.36 : x
  2. Step 2: Convert to fraction form
    973.29/1,459.34 = 418.36/x
  3. Step 3: Cross multiply
    973.29x = 1,459.34 × 418.36
  4. Step 4: Simplify right side
    973.29x = 610,529.48
  5. Step 5: Solve for x
    x = 610,529.48/973.29
  6. Step 6: Final answer
    x = 627.28

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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.