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Finding the Fourth Proportional to 584.58, 877.17 and 430.77

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Solution

The fourth proportional to 584.58, 877.17 and 430.77 is: 646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.58 : 877.17 = 430.77 : x
  2. Step 2: Convert to fraction form
    584.58/877.17 = 430.77/x
  3. Step 3: Cross multiply
    584.58x = 877.17 × 430.77
  4. Step 4: Simplify right side
    584.58x = 377,858.52
  5. Step 5: Solve for x
    x = 377,858.52/584.58
  6. Step 6: Final answer
    x = 646.38

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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.