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Finding the Fourth Proportional to 604.58, 901.75 and 586.36

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Solution

The fourth proportional to 604.58, 901.75 and 586.36 is: 874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.58 : 901.75 = 586.36 : x
  2. Step 2: Convert to fraction form
    604.58/901.75 = 586.36/x
  3. Step 3: Cross multiply
    604.58x = 901.75 × 586.36
  4. Step 4: Simplify right side
    604.58x = 528,750.13
  5. Step 5: Solve for x
    x = 528,750.13/604.58
  6. Step 6: Final answer
    x = 874.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.