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Finding the Fourth Proportional to 586.68, 880.56 and 405.24

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Solution

The fourth proportional to 586.68, 880.56 and 405.24 is: 608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.68 : 880.56 = 405.24 : x
  2. Step 2: Convert to fraction form
    586.68/880.56 = 405.24/x
  3. Step 3: Cross multiply
    586.68x = 880.56 × 405.24
  4. Step 4: Simplify right side
    586.68x = 356,838.13
  5. Step 5: Solve for x
    x = 356,838.13/586.68
  6. Step 6: Final answer
    x = 608.23

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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.