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Finding the Fourth Proportional to 973.28, 1,460.02 and 356.84

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Solution

The fourth proportional to 973.28, 1,460.02 and 356.84 is: 535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.28 : 1,460.02 = 356.84 : x
  2. Step 2: Convert to fraction form
    973.28/1,460.02 = 356.84/x
  3. Step 3: Cross multiply
    973.28x = 1,460.02 × 356.84
  4. Step 4: Simplify right side
    973.28x = 520,990.82
  5. Step 5: Solve for x
    x = 520,990.82/973.28
  6. Step 6: Final answer
    x = 535.29

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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.