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Finding the Fourth Proportional to 973.64, 1,460.42 and 396.50

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Solution

The fourth proportional to 973.64, 1,460.42 and 396.50 is: 594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.64 : 1,460.42 = 396.50 : x
  2. Step 2: Convert to fraction form
    973.64/1,460.42 = 396.50/x
  3. Step 3: Cross multiply
    973.64x = 1,460.42 × 396.50
  4. Step 4: Simplify right side
    973.64x = 579,056.53
  5. Step 5: Solve for x
    x = 579,056.53/973.64
  6. Step 6: Final answer
    x = 594.73

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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.