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Finding the Fourth Proportional to 592.49, 886.94 and 407.00

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Solution

The fourth proportional to 592.49, 886.94 and 407.00 is: 609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.49 : 886.94 = 407.00 : x
  2. Step 2: Convert to fraction form
    592.49/886.94 = 407.00/x
  3. Step 3: Cross multiply
    592.49x = 886.94 × 407.00
  4. Step 4: Simplify right side
    592.49x = 360,978.11
  5. Step 5: Solve for x
    x = 360,978.11/592.49
  6. Step 6: Final answer
    x = 609.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.