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Finding the Fourth Proportional to 503.10, 693.51 and 347.58

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Solution

The fourth proportional to 503.10, 693.51 and 347.58 is: 479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.10 : 693.51 = 347.58 : x
  2. Step 2: Convert to fraction form
    503.10/693.51 = 347.58/x
  3. Step 3: Cross multiply
    503.10x = 693.51 × 347.58
  4. Step 4: Simplify right side
    503.10x = 241,050.21
  5. Step 5: Solve for x
    x = 241,050.21/503.10
  6. Step 6: Final answer
    x = 479.13

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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.