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Finding the Fourth Proportional to 503.70, 705.90 and 503.70

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Solution

The fourth proportional to 503.70, 705.90 and 503.70 is: 705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.70 : 705.90 = 503.70 : x
  2. Step 2: Convert to fraction form
    503.70/705.90 = 503.70/x
  3. Step 3: Cross multiply
    503.70x = 705.90 × 503.70
  4. Step 4: Simplify right side
    503.70x = 355,561.83
  5. Step 5: Solve for x
    x = 355,561.83/503.70
  6. Step 6: Final answer
    x = 705.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.