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Finding the Fourth Proportional to 504.49, 696.19 and 283.51

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Solution

The fourth proportional to 504.49, 696.19 and 283.51 is: 391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.49 : 696.19 = 283.51 : x
  2. Step 2: Convert to fraction form
    504.49/696.19 = 283.51/x
  3. Step 3: Cross multiply
    504.49x = 696.19 × 283.51
  4. Step 4: Simplify right side
    504.49x = 197,373.35
  5. Step 5: Solve for x
    x = 197,373.35/504.49
  6. Step 6: Final answer
    x = 391.24

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.