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Finding the Fourth Proportional to 973.67, 1,460.36 and 315.46

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Solution

The fourth proportional to 973.67, 1,460.36 and 315.46 is: 473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.67 : 1,460.36 = 315.46 : x
  2. Step 2: Convert to fraction form
    973.67/1,460.36 = 315.46/x
  3. Step 3: Cross multiply
    973.67x = 1,460.36 × 315.46
  4. Step 4: Simplify right side
    973.67x = 460,685.63
  5. Step 5: Solve for x
    x = 460,685.63/973.67
  6. Step 6: Final answer
    x = 473.14

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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.