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Finding the Fourth Proportional to 973.14, 1,460.27 and 356.76

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Solution

The fourth proportional to 973.14, 1,460.27 and 356.76 is: 535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.14 : 1,460.27 = 356.76 : x
  2. Step 2: Convert to fraction form
    973.14/1,460.27 = 356.76/x
  3. Step 3: Cross multiply
    973.14x = 1,460.27 × 356.76
  4. Step 4: Simplify right side
    973.14x = 520,964.14
  5. Step 5: Solve for x
    x = 520,964.14/973.14
  6. Step 6: Final answer
    x = 535.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.