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Finding the Fourth Proportional to 595.81, 894.12 and 288.01

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Solution

The fourth proportional to 595.81, 894.12 and 288.01 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.81 : 894.12 = 288.01 : x
  2. Step 2: Convert to fraction form
    595.81/894.12 = 288.01/x
  3. Step 3: Cross multiply
    595.81x = 894.12 × 288.01
  4. Step 4: Simplify right side
    595.81x = 257,515.50
  5. Step 5: Solve for x
    x = 257,515.50/595.81
  6. Step 6: Final answer
    x = 432.21

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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.