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Finding the Fourth Proportional to 595.54, 894.53 and 390.41

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Solution

The fourth proportional to 595.54, 894.53 and 390.41 is: 586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.54 : 894.53 = 390.41 : x
  2. Step 2: Convert to fraction form
    595.54/894.53 = 390.41/x
  3. Step 3: Cross multiply
    595.54x = 894.53 × 390.41
  4. Step 4: Simplify right side
    595.54x = 349,233.46
  5. Step 5: Solve for x
    x = 349,233.46/595.54
  6. Step 6: Final answer
    x = 586.41

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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.