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Finding the Fourth Proportional to 585.50, 877.57 and 256.33

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Solution

The fourth proportional to 585.50, 877.57 and 256.33 is: 384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.50 : 877.57 = 256.33 : x
  2. Step 2: Convert to fraction form
    585.50/877.57 = 256.33/x
  3. Step 3: Cross multiply
    585.50x = 877.57 × 256.33
  4. Step 4: Simplify right side
    585.50x = 224,947.97
  5. Step 5: Solve for x
    x = 224,947.97/585.50
  6. Step 6: Final answer
    x = 384.20

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1.5x scale

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.