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Finding the Fourth Proportional to 597.36, 824.86 and 570.96

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Solution

The fourth proportional to 597.36, 824.86 and 570.96 is: 788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.36 : 824.86 = 570.96 : x
  2. Step 2: Convert to fraction form
    597.36/824.86 = 570.96/x
  3. Step 3: Cross multiply
    597.36x = 824.86 × 570.96
  4. Step 4: Simplify right side
    597.36x = 470,962.07
  5. Step 5: Solve for x
    x = 470,962.07/597.36
  6. Step 6: Final answer
    x = 788.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.