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Finding the Fourth Proportional to 973.42, 1,460.13 and 315.85

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Solution

The fourth proportional to 973.42, 1,460.13 and 315.85 is: 473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.42 : 1,460.13 = 315.85 : x
  2. Step 2: Convert to fraction form
    973.42/1,460.13 = 315.85/x
  3. Step 3: Cross multiply
    973.42x = 1,460.13 × 315.85
  4. Step 4: Simplify right side
    973.42x = 461,182.06
  5. Step 5: Solve for x
    x = 461,182.06/973.42
  6. Step 6: Final answer
    x = 473.78

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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.