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Finding the Fourth Proportional to 585.23, 877.84 and 152.38

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Solution

The fourth proportional to 585.23, 877.84 and 152.38 is: 228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.23 : 877.84 = 152.38 : x
  2. Step 2: Convert to fraction form
    585.23/877.84 = 152.38/x
  3. Step 3: Cross multiply
    585.23x = 877.84 × 152.38
  4. Step 4: Simplify right side
    585.23x = 133,762.68
  5. Step 5: Solve for x
    x = 133,762.68/585.23
  6. Step 6: Final answer
    x = 228.57

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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.