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Finding the Fourth Proportional to 875.23, 1,311.93 and 355.01

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Solution

The fourth proportional to 875.23, 1,311.93 and 355.01 is: 532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.23 : 1,311.93 = 355.01 : x
  2. Step 2: Convert to fraction form
    875.23/1,311.93 = 355.01/x
  3. Step 3: Cross multiply
    875.23x = 1,311.93 × 355.01
  4. Step 4: Simplify right side
    875.23x = 465,741.71
  5. Step 5: Solve for x
    x = 465,741.71/875.23
  6. Step 6: Final answer
    x = 532.14

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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.