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Finding the Fourth Proportional to 597.65, 890.16 and 570.99

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Solution

The fourth proportional to 597.65, 890.16 and 570.99 is: 850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.65 : 890.16 = 570.99 : x
  2. Step 2: Convert to fraction form
    597.65/890.16 = 570.99/x
  3. Step 3: Cross multiply
    597.65x = 890.16 × 570.99
  4. Step 4: Simplify right side
    597.65x = 508,272.46
  5. Step 5: Solve for x
    x = 508,272.46/597.65
  6. Step 6: Final answer
    x = 850.46

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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.