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Finding the Fourth Proportional to 573.52, 856.10 and 497.02

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Solution

The fourth proportional to 573.52, 856.10 and 497.02 is: 741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.52 : 856.10 = 497.02 : x
  2. Step 2: Convert to fraction form
    573.52/856.10 = 497.02/x
  3. Step 3: Cross multiply
    573.52x = 856.10 × 497.02
  4. Step 4: Simplify right side
    573.52x = 425,498.82
  5. Step 5: Solve for x
    x = 425,498.82/573.52
  6. Step 6: Final answer
    x = 741.91

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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.