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Finding the Fourth Proportional to 973.25, 1,458.57 and 356.37

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Solution

The fourth proportional to 973.25, 1,458.57 and 356.37 is: 534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.25 : 1,458.57 = 356.37 : x
  2. Step 2: Convert to fraction form
    973.25/1,458.57 = 356.37/x
  3. Step 3: Cross multiply
    973.25x = 1,458.57 × 356.37
  4. Step 4: Simplify right side
    973.25x = 519,790.59
  5. Step 5: Solve for x
    x = 519,790.59/973.25
  6. Step 6: Final answer
    x = 534.08

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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.