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Finding the Fourth Proportional to 602.64, 897.54 and 595.12

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Solution

The fourth proportional to 602.64, 897.54 and 595.12 is: 886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.64 : 897.54 = 595.12 : x
  2. Step 2: Convert to fraction form
    602.64/897.54 = 595.12/x
  3. Step 3: Cross multiply
    602.64x = 897.54 × 595.12
  4. Step 4: Simplify right side
    602.64x = 534,144.00
  5. Step 5: Solve for x
    x = 534,144.00/602.64
  6. Step 6: Final answer
    x = 886.34

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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.