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Finding the Fourth Proportional to 598.32, 893.16 and 475.47

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Solution

The fourth proportional to 598.32, 893.16 and 475.47 is: 709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 893.16 = 475.47 : x
  2. Step 2: Convert to fraction form
    598.32/893.16 = 475.47/x
  3. Step 3: Cross multiply
    598.32x = 893.16 × 475.47
  4. Step 4: Simplify right side
    598.32x = 424,670.79
  5. Step 5: Solve for x
    x = 424,670.79/598.32
  6. Step 6: Final answer
    x = 709.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.