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Finding the Fourth Proportional to 595.16, 822.31 and 529.07

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Solution

The fourth proportional to 595.16, 822.31 and 529.07 is: 731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.16 : 822.31 = 529.07 : x
  2. Step 2: Convert to fraction form
    595.16/822.31 = 529.07/x
  3. Step 3: Cross multiply
    595.16x = 822.31 × 529.07
  4. Step 4: Simplify right side
    595.16x = 435,060.28
  5. Step 5: Solve for x
    x = 435,060.28/595.16
  6. Step 6: Final answer
    x = 731.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.