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Finding the Fourth Proportional to 973.60, 1,459.92 and 324.16

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Solution

The fourth proportional to 973.60, 1,459.92 and 324.16 is: 486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.60 : 1,459.92 = 324.16 : x
  2. Step 2: Convert to fraction form
    973.60/1,459.92 = 324.16/x
  3. Step 3: Cross multiply
    973.60x = 1,459.92 × 324.16
  4. Step 4: Simplify right side
    973.60x = 473,247.67
  5. Step 5: Solve for x
    x = 473,247.67/973.60
  6. Step 6: Final answer
    x = 486.08

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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.