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Finding the Fourth Proportional to 703.79, 971.37 and 424.02

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Solution

The fourth proportional to 703.79, 971.37 and 424.02 is: 585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.79 : 971.37 = 424.02 : x
  2. Step 2: Convert to fraction form
    703.79/971.37 = 424.02/x
  3. Step 3: Cross multiply
    703.79x = 971.37 × 424.02
  4. Step 4: Simplify right side
    703.79x = 411,880.31
  5. Step 5: Solve for x
    x = 411,880.31/703.79
  6. Step 6: Final answer
    x = 585.24

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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.