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Finding the Fourth Proportional to 583.74, 880.74 and 578.88

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Solution

The fourth proportional to 583.74, 880.74 and 578.88 is: 873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 880.74 = 578.88 : x
  2. Step 2: Convert to fraction form
    583.74/880.74 = 578.88/x
  3. Step 3: Cross multiply
    583.74x = 880.74 × 578.88
  4. Step 4: Simplify right side
    583.74x = 509,842.77
  5. Step 5: Solve for x
    x = 509,842.77/583.74
  6. Step 6: Final answer
    x = 873.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.