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Finding the Fourth Proportional to 583.94, 877.01 and 353.25

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Solution

The fourth proportional to 583.94, 877.01 and 353.25 is: 530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.94 : 877.01 = 353.25 : x
  2. Step 2: Convert to fraction form
    583.94/877.01 = 353.25/x
  3. Step 3: Cross multiply
    583.94x = 877.01 × 353.25
  4. Step 4: Simplify right side
    583.94x = 309,802.02
  5. Step 5: Solve for x
    x = 309,802.02/583.94
  6. Step 6: Final answer
    x = 530.54

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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.