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Finding the Fourth Proportional to 556.72, 833.28 and 339.28

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Solution

The fourth proportional to 556.72, 833.28 and 339.28 is: 507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.72 : 833.28 = 339.28 : x
  2. Step 2: Convert to fraction form
    556.72/833.28 = 339.28/x
  3. Step 3: Cross multiply
    556.72x = 833.28 × 339.28
  4. Step 4: Simplify right side
    556.72x = 282,715.24
  5. Step 5: Solve for x
    x = 282,715.24/556.72
  6. Step 6: Final answer
    x = 507.82

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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.