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Finding the Fourth Proportional to 594.78, 896.54 and 570.08

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Solution

The fourth proportional to 594.78, 896.54 and 570.08 is: 859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.78 : 896.54 = 570.08 : x
  2. Step 2: Convert to fraction form
    594.78/896.54 = 570.08/x
  3. Step 3: Cross multiply
    594.78x = 896.54 × 570.08
  4. Step 4: Simplify right side
    594.78x = 511,099.52
  5. Step 5: Solve for x
    x = 511,099.52/594.78
  6. Step 6: Final answer
    x = 859.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.