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Finding the Fourth Proportional to 390.91, 586.46 and 117.00

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Solution

The fourth proportional to 390.91, 586.46 and 117.00 is: 175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.91 : 586.46 = 117.00 : x
  2. Step 2: Convert to fraction form
    390.91/586.46 = 117.00/x
  3. Step 3: Cross multiply
    390.91x = 586.46 × 117.00
  4. Step 4: Simplify right side
    390.91x = 68,612.89
  5. Step 5: Solve for x
    x = 68,612.89/390.91
  6. Step 6: Final answer
    x = 175.52

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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.