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Finding the Fourth Proportional to 586.88, 810.04 and 362.88

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Solution

The fourth proportional to 586.88, 810.04 and 362.88 is: 500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.88 : 810.04 = 362.88 : x
  2. Step 2: Convert to fraction form
    586.88/810.04 = 362.88/x
  3. Step 3: Cross multiply
    586.88x = 810.04 × 362.88
  4. Step 4: Simplify right side
    586.88x = 293,947.32
  5. Step 5: Solve for x
    x = 293,947.32/586.88
  6. Step 6: Final answer
    x = 500.86

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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.