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Finding the Fourth Proportional to 595.63, 823.47 and 554.32

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Solution

The fourth proportional to 595.63, 823.47 and 554.32 is: 766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.63 : 823.47 = 554.32 : x
  2. Step 2: Convert to fraction form
    595.63/823.47 = 554.32/x
  3. Step 3: Cross multiply
    595.63x = 823.47 × 554.32
  4. Step 4: Simplify right side
    595.63x = 456,461.77
  5. Step 5: Solve for x
    x = 456,461.77/595.63
  6. Step 6: Final answer
    x = 766.36

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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.