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Finding the Fourth Proportional to 973.28, 1,460.06 and 314.94

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Solution

The fourth proportional to 973.28, 1,460.06 and 314.94 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.28 : 1,460.06 = 314.94 : x
  2. Step 2: Convert to fraction form
    973.28/1,460.06 = 314.94/x
  3. Step 3: Cross multiply
    973.28x = 1,460.06 × 314.94
  4. Step 4: Simplify right side
    973.28x = 459,831.30
  5. Step 5: Solve for x
    x = 459,831.30/973.28
  6. Step 6: Final answer
    x = 472.46

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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.