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Finding the Fourth Proportional to 973.32, 1,460.01 and 324.03

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Solution

The fourth proportional to 973.32, 1,460.01 and 324.03 is: 486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.32 : 1,460.01 = 324.03 : x
  2. Step 2: Convert to fraction form
    973.32/1,460.01 = 324.03/x
  3. Step 3: Cross multiply
    973.32x = 1,460.01 × 324.03
  4. Step 4: Simplify right side
    973.32x = 473,087.04
  5. Step 5: Solve for x
    x = 473,087.04/973.32
  6. Step 6: Final answer
    x = 486.05

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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.