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Finding the Fourth Proportional to 719.34, 992.64 and 424.58

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Solution

The fourth proportional to 719.34, 992.64 and 424.58 is: 585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.34 : 992.64 = 424.58 : x
  2. Step 2: Convert to fraction form
    719.34/992.64 = 424.58/x
  3. Step 3: Cross multiply
    719.34x = 992.64 × 424.58
  4. Step 4: Simplify right side
    719.34x = 421,455.09
  5. Step 5: Solve for x
    x = 421,455.09/719.34
  6. Step 6: Final answer
    x = 585.89

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Why These Related Problems?

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