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Finding the Fourth Proportional to 588.48, 877.74 and 554.64

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Solution

The fourth proportional to 588.48, 877.74 and 554.64 is: 827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 877.74 = 554.64 : x
  2. Step 2: Convert to fraction form
    588.48/877.74 = 554.64/x
  3. Step 3: Cross multiply
    588.48x = 877.74 × 554.64
  4. Step 4: Simplify right side
    588.48x = 486,829.71
  5. Step 5: Solve for x
    x = 486,829.71/588.48
  6. Step 6: Final answer
    x = 827.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.