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Finding the Fourth Proportional to 465.53, 696.75 and 373.59

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Solution

The fourth proportional to 465.53, 696.75 and 373.59 is: 559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.53 : 696.75 = 373.59 : x
  2. Step 2: Convert to fraction form
    465.53/696.75 = 373.59/x
  3. Step 3: Cross multiply
    465.53x = 696.75 × 373.59
  4. Step 4: Simplify right side
    465.53x = 260,298.83
  5. Step 5: Solve for x
    x = 260,298.83/465.53
  6. Step 6: Final answer
    x = 559.15

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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.