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Finding the Fourth Proportional to 594.24, 887.52 and 561.12

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Solution

The fourth proportional to 594.24, 887.52 and 561.12 is: 838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.24 : 887.52 = 561.12 : x
  2. Step 2: Convert to fraction form
    594.24/887.52 = 561.12/x
  3. Step 3: Cross multiply
    594.24x = 887.52 × 561.12
  4. Step 4: Simplify right side
    594.24x = 498,005.22
  5. Step 5: Solve for x
    x = 498,005.22/594.24
  6. Step 6: Final answer
    x = 838.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.