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Finding the Fourth Proportional to 560.22, 839.64 and 429.24

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Solution

The fourth proportional to 560.22, 839.64 and 429.24 is: 643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.22 : 839.64 = 429.24 : x
  2. Step 2: Convert to fraction form
    560.22/839.64 = 429.24/x
  3. Step 3: Cross multiply
    560.22x = 839.64 × 429.24
  4. Step 4: Simplify right side
    560.22x = 360,407.07
  5. Step 5: Solve for x
    x = 360,407.07/560.22
  6. Step 6: Final answer
    x = 643.33

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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.