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Finding the Fourth Proportional to 973.51, 1,459.84 and 280.02

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Solution

The fourth proportional to 973.51, 1,459.84 and 280.02 is: 419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.51 : 1,459.84 = 280.02 : x
  2. Step 2: Convert to fraction form
    973.51/1,459.84 = 280.02/x
  3. Step 3: Cross multiply
    973.51x = 1,459.84 × 280.02
  4. Step 4: Simplify right side
    973.51x = 408,784.40
  5. Step 5: Solve for x
    x = 408,784.40/973.51
  6. Step 6: Final answer
    x = 419.91

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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.