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Finding the Fourth Proportional to 595.95, 894.46 and 288.01

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Solution

The fourth proportional to 595.95, 894.46 and 288.01 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.95 : 894.46 = 288.01 : x
  2. Step 2: Convert to fraction form
    595.95/894.46 = 288.01/x
  3. Step 3: Cross multiply
    595.95x = 894.46 × 288.01
  4. Step 4: Simplify right side
    595.95x = 257,613.42
  5. Step 5: Solve for x
    x = 257,613.42/595.95
  6. Step 6: Final answer
    x = 432.27

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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.