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Finding the Fourth Proportional to 584.54, 877.71 and 475.34

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Solution

The fourth proportional to 584.54, 877.71 and 475.34 is: 713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.54 : 877.71 = 475.34 : x
  2. Step 2: Convert to fraction form
    584.54/877.71 = 475.34/x
  3. Step 3: Cross multiply
    584.54x = 877.71 × 475.34
  4. Step 4: Simplify right side
    584.54x = 417,210.67
  5. Step 5: Solve for x
    x = 417,210.67/584.54
  6. Step 6: Final answer
    x = 713.74

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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.