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Finding the Fourth Proportional to 586.90, 810.20 and 366

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Solution

The fourth proportional to 586.90, 810.20 and 366 is: 505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 810.20 = 366 : x
  2. Step 2: Convert to fraction form
    586.90/810.20 = 366/x
  3. Step 3: Cross multiply
    586.90x = 810.20 × 366
  4. Step 4: Simplify right side
    586.90x = 296,533.20
  5. Step 5: Solve for x
    x = 296,533.20/586.90
  6. Step 6: Final answer
    x = 505.25

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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.