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Finding the Fourth Proportional to 973.81, 1,461.47 and 357.92

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Solution

The fourth proportional to 973.81, 1,461.47 and 357.92 is: 537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.81 : 1,461.47 = 357.92 : x
  2. Step 2: Convert to fraction form
    973.81/1,461.47 = 357.92/x
  3. Step 3: Cross multiply
    973.81x = 1,461.47 × 357.92
  4. Step 4: Simplify right side
    973.81x = 523,080.25
  5. Step 5: Solve for x
    x = 523,080.25/973.81
  6. Step 6: Final answer
    x = 537.15

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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.