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Finding the Fourth Proportional to 586.66, 809.32 and 429.06

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Solution

The fourth proportional to 586.66, 809.32 and 429.06 is: 591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.66 : 809.32 = 429.06 : x
  2. Step 2: Convert to fraction form
    586.66/809.32 = 429.06/x
  3. Step 3: Cross multiply
    586.66x = 809.32 × 429.06
  4. Step 4: Simplify right side
    586.66x = 347,246.84
  5. Step 5: Solve for x
    x = 347,246.84/586.66
  6. Step 6: Final answer
    x = 591.90

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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.