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Finding the Fourth Proportional to 560.53, 840 and 286.81

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Solution

The fourth proportional to 560.53, 840 and 286.81 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.53 : 840 = 286.81 : x
  2. Step 2: Convert to fraction form
    560.53/840 = 286.81/x
  3. Step 3: Cross multiply
    560.53x = 840 × 286.81
  4. Step 4: Simplify right side
    560.53x = 240,920.40
  5. Step 5: Solve for x
    x = 240,920.40/560.53
  6. Step 6: Final answer
    x = 429.81

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