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Finding the Fourth Proportional to 607.50, 909.36 and 588.06

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Solution

The fourth proportional to 607.50, 909.36 and 588.06 is: 880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.50 : 909.36 = 588.06 : x
  2. Step 2: Convert to fraction form
    607.50/909.36 = 588.06/x
  3. Step 3: Cross multiply
    607.50x = 909.36 × 588.06
  4. Step 4: Simplify right side
    607.50x = 534,758.24
  5. Step 5: Solve for x
    x = 534,758.24/607.50
  6. Step 6: Final answer
    x = 880.26

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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.