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Finding the Fourth Proportional to 719.04, 992.13 and 424.32

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Solution

The fourth proportional to 719.04, 992.13 and 424.32 is: 585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.04 : 992.13 = 424.32 : x
  2. Step 2: Convert to fraction form
    719.04/992.13 = 424.32/x
  3. Step 3: Cross multiply
    719.04x = 992.13 × 424.32
  4. Step 4: Simplify right side
    719.04x = 420,980.60
  5. Step 5: Solve for x
    x = 420,980.60/719.04
  6. Step 6: Final answer
    x = 585.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.