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Finding the Fourth Proportional to 584.12, 805.58 and 377.40

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Solution

The fourth proportional to 584.12, 805.58 and 377.40 is: 520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.12 : 805.58 = 377.40 : x
  2. Step 2: Convert to fraction form
    584.12/805.58 = 377.40/x
  3. Step 3: Cross multiply
    584.12x = 805.58 × 377.40
  4. Step 4: Simplify right side
    584.12x = 304,025.89
  5. Step 5: Solve for x
    x = 304,025.89/584.12
  6. Step 6: Final answer
    x = 520.49

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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.