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Finding the Fourth Proportional to 586.48, 809.40 and 365.44

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Solution

The fourth proportional to 586.48, 809.40 and 365.44 is: 504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.48 : 809.40 = 365.44 : x
  2. Step 2: Convert to fraction form
    586.48/809.40 = 365.44/x
  3. Step 3: Cross multiply
    586.48x = 809.40 × 365.44
  4. Step 4: Simplify right side
    586.48x = 295,787.14
  5. Step 5: Solve for x
    x = 295,787.14/586.48
  6. Step 6: Final answer
    x = 504.34

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1.5x scale

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.