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Finding the Fourth Proportional to 586.56, 878.56 and 358.08

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Solution

The fourth proportional to 586.56, 878.56 and 358.08 is: 536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.56 : 878.56 = 358.08 : x
  2. Step 2: Convert to fraction form
    586.56/878.56 = 358.08/x
  3. Step 3: Cross multiply
    586.56x = 878.56 × 358.08
  4. Step 4: Simplify right side
    586.56x = 314,594.76
  5. Step 5: Solve for x
    x = 314,594.76/586.56
  6. Step 6: Final answer
    x = 536.34

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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.