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Finding the Fourth Proportional to 595.89, 822.71 and 407.06

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Solution

The fourth proportional to 595.89, 822.71 and 407.06 is: 562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.89 : 822.71 = 407.06 : x
  2. Step 2: Convert to fraction form
    595.89/822.71 = 407.06/x
  3. Step 3: Cross multiply
    595.89x = 822.71 × 407.06
  4. Step 4: Simplify right side
    595.89x = 334,893.50
  5. Step 5: Solve for x
    x = 334,893.50/595.89
  6. Step 6: Final answer
    x = 562.00

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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.