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Finding the Fourth Proportional to 973.31, 1,460.17 and 357.00

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Solution

The fourth proportional to 973.31, 1,460.17 and 357.00 is: 535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.31 : 1,460.17 = 357.00 : x
  2. Step 2: Convert to fraction form
    973.31/1,460.17 = 357.00/x
  3. Step 3: Cross multiply
    973.31x = 1,460.17 × 357.00
  4. Step 4: Simplify right side
    973.31x = 521,275.66
  5. Step 5: Solve for x
    x = 521,275.66/973.31
  6. Step 6: Final answer
    x = 535.57

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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.