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Finding the Fourth Proportional to 581.03, 870.95 and 256.34

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Solution

The fourth proportional to 581.03, 870.95 and 256.34 is: 384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.03 : 870.95 = 256.34 : x
  2. Step 2: Convert to fraction form
    581.03/870.95 = 256.34/x
  3. Step 3: Cross multiply
    581.03x = 870.95 × 256.34
  4. Step 4: Simplify right side
    581.03x = 223,255.61
  5. Step 5: Solve for x
    x = 223,255.61/581.03
  6. Step 6: Final answer
    x = 384.24

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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.